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Finding the Fourth Proportional to 96,502.71, 144,773.40 and 33,325.14

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Solution

The fourth proportional to 96,502.71, 144,773.40 and 33,325.14 is: 49,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,502.71 : 144,773.40 = 33,325.14 : x
  2. Step 2: Convert to fraction form
    96,502.71/144,773.40 = 33,325.14/x
  3. Step 3: Cross multiply
    96,502.71x = 144,773.40 × 33,325.14
  4. Step 4: Simplify right side
    96,502.71x = 4,824,593,823.28
  5. Step 5: Solve for x
    x = 4,824,593,823.28/96,502.71
  6. Step 6: Final answer
    x = 49,994.39

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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.