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Finding the Fourth Proportional to 73,782.54, 101,820.06 and 40,248.54

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Solution

The fourth proportional to 73,782.54, 101,820.06 and 40,248.54 is: 55,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.54 : 101,820.06 = 40,248.54 : x
  2. Step 2: Convert to fraction form
    73,782.54/101,820.06 = 40,248.54/x
  3. Step 3: Cross multiply
    73,782.54x = 101,820.06 × 40,248.54
  4. Step 4: Simplify right side
    73,782.54x = 4,098,108,757.71
  5. Step 5: Solve for x
    x = 4,098,108,757.71/73,782.54
  6. Step 6: Final answer
    x = 55,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.