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Finding the Fourth Proportional to 29,498.10, 40,708.11 and 16,070.07

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Solution

The fourth proportional to 29,498.10, 40,708.11 and 16,070.07 is: 22,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.10 : 40,708.11 = 16,070.07 : x
  2. Step 2: Convert to fraction form
    29,498.10/40,708.11 = 16,070.07/x
  3. Step 3: Cross multiply
    29,498.10x = 40,708.11 × 16,070.07
  4. Step 4: Simplify right side
    29,498.10x = 654,182,177.27
  5. Step 5: Solve for x
    x = 654,182,177.27/29,498.10
  6. Step 6: Final answer
    x = 22,177.10

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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.