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Finding the Fourth Proportional to 29,507.76, 40,706.28 and 17,567.28

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Solution

The fourth proportional to 29,507.76, 40,706.28 and 17,567.28 is: 24,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.76 : 40,706.28 = 17,567.28 : x
  2. Step 2: Convert to fraction form
    29,507.76/40,706.28 = 17,567.28/x
  3. Step 3: Cross multiply
    29,507.76x = 40,706.28 × 17,567.28
  4. Step 4: Simplify right side
    29,507.76x = 715,098,618.52
  5. Step 5: Solve for x
    x = 715,098,618.52/29,507.76
  6. Step 6: Final answer
    x = 24,234.26

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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.