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Finding the Fourth Proportional to 96,150.76, 132,683.70 and 53,701

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Solution

The fourth proportional to 96,150.76, 132,683.70 and 53,701 is: 74,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150.76 : 132,683.70 = 53,701 : x
  2. Step 2: Convert to fraction form
    96,150.76/132,683.70 = 53,701/x
  3. Step 3: Cross multiply
    96,150.76x = 132,683.70 × 53,701
  4. Step 4: Simplify right side
    96,150.76x = 7,125,247,373.70
  5. Step 5: Solve for x
    x = 7,125,247,373.70/96,150.76
  6. Step 6: Final answer
    x = 74,104.95

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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.