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Finding the Fourth Proportional to 83,132.40, 124,547.40 and 47,967.60

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Solution

The fourth proportional to 83,132.40, 124,547.40 and 47,967.60 is: 71,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.40 : 124,547.40 = 47,967.60 : x
  2. Step 2: Convert to fraction form
    83,132.40/124,547.40 = 47,967.60/x
  3. Step 3: Cross multiply
    83,132.40x = 124,547.40 × 47,967.60
  4. Step 4: Simplify right side
    83,132.40x = 5,974,239,864.24
  5. Step 5: Solve for x
    x = 5,974,239,864.24/83,132.40
  6. Step 6: Final answer
    x = 71,864.16

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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.