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Finding the Fourth Proportional to 29,547, 40,778.27 and 16,451.31

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Solution

The fourth proportional to 29,547, 40,778.27 and 16,451.31 is: 22,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547 : 40,778.27 = 16,451.31 : x
  2. Step 2: Convert to fraction form
    29,547/40,778.27 = 16,451.31/x
  3. Step 3: Cross multiply
    29,547x = 40,778.27 × 16,451.31
  4. Step 4: Simplify right side
    29,547x = 670,856,071.24
  5. Step 5: Solve for x
    x = 670,856,071.24/29,547
  6. Step 6: Final answer
    x = 22,704.71

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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.