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Finding the Fourth Proportional to 29,658.81, 40,929.10 and 16,230.06

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Solution

The fourth proportional to 29,658.81, 40,929.10 and 16,230.06 is: 22,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.81 : 40,929.10 = 16,230.06 : x
  2. Step 2: Convert to fraction form
    29,658.81/40,929.10 = 16,230.06/x
  3. Step 3: Cross multiply
    29,658.81x = 40,929.10 × 16,230.06
  4. Step 4: Simplify right side
    29,658.81x = 664,281,748.75
  5. Step 5: Solve for x
    x = 664,281,748.75/29,658.81
  6. Step 6: Final answer
    x = 22,397.45

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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.