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Finding the Fourth Proportional to 83,082.48, 124,652.88 and 51,881.28

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Solution

The fourth proportional to 83,082.48, 124,652.88 and 51,881.28 is: 77,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.48 : 124,652.88 = 51,881.28 : x
  2. Step 2: Convert to fraction form
    83,082.48/124,652.88 = 51,881.28/x
  3. Step 3: Cross multiply
    83,082.48x = 124,652.88 × 51,881.28
  4. Step 4: Simplify right side
    83,082.48x = 6,467,150,970.09
  5. Step 5: Solve for x
    x = 6,467,150,970.09/83,082.48
  6. Step 6: Final answer
    x = 77,840.13

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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.