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Finding the Fourth Proportional to 76,597.68, 105,702.56 and 46,400.88

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Solution

The fourth proportional to 76,597.68, 105,702.56 and 46,400.88 is: 64,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,597.68 : 105,702.56 = 46,400.88 : x
  2. Step 2: Convert to fraction form
    76,597.68/105,702.56 = 46,400.88/x
  3. Step 3: Cross multiply
    76,597.68x = 105,702.56 × 46,400.88
  4. Step 4: Simplify right side
    76,597.68x = 4,904,691,802.25
  5. Step 5: Solve for x
    x = 4,904,691,802.25/76,597.68
  6. Step 6: Final answer
    x = 64,031.86

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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.