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Finding the Fourth Proportional to 96,496.68, 144,683.46 and 57,065.88

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Solution

The fourth proportional to 96,496.68, 144,683.46 and 57,065.88 is: 85,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496.68 : 144,683.46 = 57,065.88 : x
  2. Step 2: Convert to fraction form
    96,496.68/144,683.46 = 57,065.88/x
  3. Step 3: Cross multiply
    96,496.68x = 144,683.46 × 57,065.88
  4. Step 4: Simplify right side
    96,496.68x = 8,256,488,966.34
  5. Step 5: Solve for x
    x = 8,256,488,966.34/96,496.68
  6. Step 6: Final answer
    x = 85,562.41

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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.