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Finding the Fourth Proportional to 29,355.38, 40,510.42 and 16,780.40

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Solution

The fourth proportional to 29,355.38, 40,510.42 and 16,780.40 is: 23,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355.38 : 40,510.42 = 16,780.40 : x
  2. Step 2: Convert to fraction form
    29,355.38/40,510.42 = 16,780.40/x
  3. Step 3: Cross multiply
    29,355.38x = 40,510.42 × 16,780.40
  4. Step 4: Simplify right side
    29,355.38x = 679,781,051.77
  5. Step 5: Solve for x
    x = 679,781,051.77/29,355.38
  6. Step 6: Final answer
    x = 23,156.95

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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.