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Finding the Fourth Proportional to 70,152.76, 105,702.74 and 57,946.26

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Solution

The fourth proportional to 70,152.76, 105,702.74 and 57,946.26 is: 87,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.76 : 105,702.74 = 57,946.26 : x
  2. Step 2: Convert to fraction form
    70,152.76/105,702.74 = 57,946.26/x
  3. Step 3: Cross multiply
    70,152.76x = 105,702.74 × 57,946.26
  4. Step 4: Simplify right side
    70,152.76x = 6,125,078,454.75
  5. Step 5: Solve for x
    x = 6,125,078,454.75/70,152.76
  6. Step 6: Final answer
    x = 87,310.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.