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Finding the Fourth Proportional to 76,702.75, 105,859.52 and 43,175.23

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Solution

The fourth proportional to 76,702.75, 105,859.52 and 43,175.23 is: 59,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.75 : 105,859.52 = 43,175.23 : x
  2. Step 2: Convert to fraction form
    76,702.75/105,859.52 = 43,175.23/x
  3. Step 3: Cross multiply
    76,702.75x = 105,859.52 × 43,175.23
  4. Step 4: Simplify right side
    76,702.75x = 4,570,509,123.69
  5. Step 5: Solve for x
    x = 4,570,509,123.69/76,702.75
  6. Step 6: Final answer
    x = 59,587.29

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.