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Finding the Fourth Proportional to 29,525.98, 40,746.16 and 16,097.16

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Solution

The fourth proportional to 29,525.98, 40,746.16 and 16,097.16 is: 22,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,525.98 : 40,746.16 = 16,097.16 : x
  2. Step 2: Convert to fraction form
    29,525.98/40,746.16 = 16,097.16/x
  3. Step 3: Cross multiply
    29,525.98x = 40,746.16 × 16,097.16
  4. Step 4: Simplify right side
    29,525.98x = 655,897,456.91
  5. Step 5: Solve for x
    x = 655,897,456.91/29,525.98
  6. Step 6: Final answer
    x = 22,214.25

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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.