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Finding the Fourth Proportional to 96,496, 144,681.92 and 40,321.04

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Solution

The fourth proportional to 96,496, 144,681.92 and 40,321.04 is: 60,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496 : 144,681.92 = 40,321.04 : x
  2. Step 2: Convert to fraction form
    96,496/144,681.92 = 40,321.04/x
  3. Step 3: Cross multiply
    96,496x = 144,681.92 × 40,321.04
  4. Step 4: Simplify right side
    96,496x = 5,833,725,483.60
  5. Step 5: Solve for x
    x = 5,833,725,483.60/96,496
  6. Step 6: Final answer
    x = 60,455.62

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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.