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Finding the Fourth Proportional to 29,856.62, 44,775.43 and 9,862.40

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Solution

The fourth proportional to 29,856.62, 44,775.43 and 9,862.40 is: 14,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.62 : 44,775.43 = 9,862.40 : x
  2. Step 2: Convert to fraction form
    29,856.62/44,775.43 = 9,862.40/x
  3. Step 3: Cross multiply
    29,856.62x = 44,775.43 × 9,862.40
  4. Step 4: Simplify right side
    29,856.62x = 441,593,288.11
  5. Step 5: Solve for x
    x = 441,593,288.11/29,856.62
  6. Step 6: Final answer
    x = 14,790.46

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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.