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Finding the Fourth Proportional to 29,411.46, 44,142.06 and 12,784.74

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Solution

The fourth proportional to 29,411.46, 44,142.06 and 12,784.74 is: 19,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411.46 : 44,142.06 = 12,784.74 : x
  2. Step 2: Convert to fraction form
    29,411.46/44,142.06 = 12,784.74/x
  3. Step 3: Cross multiply
    29,411.46x = 44,142.06 × 12,784.74
  4. Step 4: Simplify right side
    29,411.46x = 564,344,760.16
  5. Step 5: Solve for x
    x = 564,344,760.16/29,411.46
  6. Step 6: Final answer
    x = 19,187.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.