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Finding the Fourth Proportional to 83,045.17, 124,537.19 and 65,310.48

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Solution

The fourth proportional to 83,045.17, 124,537.19 and 65,310.48 is: 97,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.17 : 124,537.19 = 65,310.48 : x
  2. Step 2: Convert to fraction form
    83,045.17/124,537.19 = 65,310.48/x
  3. Step 3: Cross multiply
    83,045.17x = 124,537.19 × 65,310.48
  4. Step 4: Simplify right side
    83,045.17x = 8,133,583,656.75
  5. Step 5: Solve for x
    x = 8,133,583,656.75/83,045.17
  6. Step 6: Final answer
    x = 97,941.68

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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.