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Finding the Fourth Proportional to 99,032.81, 136,664.66 and 53,711.87

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Solution

The fourth proportional to 99,032.81, 136,664.66 and 53,711.87 is: 74,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,032.81 : 136,664.66 = 53,711.87 : x
  2. Step 2: Convert to fraction form
    99,032.81/136,664.66 = 53,711.87/x
  3. Step 3: Cross multiply
    99,032.81x = 136,664.66 × 53,711.87
  4. Step 4: Simplify right side
    99,032.81x = 7,340,514,182.95
  5. Step 5: Solve for x
    x = 7,340,514,182.95/99,032.81
  6. Step 6: Final answer
    x = 74,122.04

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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.