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Finding the Fourth Proportional to 38,209.70, 57,314.55 and 29,461.70

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Solution

The fourth proportional to 38,209.70, 57,314.55 and 29,461.70 is: 44,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.70 : 57,314.55 = 29,461.70 : x
  2. Step 2: Convert to fraction form
    38,209.70/57,314.55 = 29,461.70/x
  3. Step 3: Cross multiply
    38,209.70x = 57,314.55 × 29,461.70
  4. Step 4: Simplify right side
    38,209.70x = 1,688,584,077.74
  5. Step 5: Solve for x
    x = 1,688,584,077.74/38,209.70
  6. Step 6: Final answer
    x = 44,192.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.