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Finding the Fourth Proportional to 29,134.76, 43,702.18 and 12,484

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Solution

The fourth proportional to 29,134.76, 43,702.18 and 12,484 is: 18,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134.76 : 43,702.18 = 12,484 : x
  2. Step 2: Convert to fraction form
    29,134.76/43,702.18 = 12,484/x
  3. Step 3: Cross multiply
    29,134.76x = 43,702.18 × 12,484
  4. Step 4: Simplify right side
    29,134.76x = 545,578,015.12
  5. Step 5: Solve for x
    x = 545,578,015.12/29,134.76
  6. Step 6: Final answer
    x = 18,726.02

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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.