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Finding the Fourth Proportional to 59,833.49, 89,760.91 and 19,854.87

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Solution

The fourth proportional to 59,833.49, 89,760.91 and 19,854.87 is: 29,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,833.49 : 89,760.91 = 19,854.87 : x
  2. Step 2: Convert to fraction form
    59,833.49/89,760.91 = 19,854.87/x
  3. Step 3: Cross multiply
    59,833.49x = 89,760.91 × 19,854.87
  4. Step 4: Simplify right side
    59,833.49x = 1,782,191,199.13
  5. Step 5: Solve for x
    x = 1,782,191,199.13/59,833.49
  6. Step 6: Final answer
    x = 29,785.85

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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.