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Finding the Fourth Proportional to 73,765.49, 110,541.92 and 42,077.88

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Solution

The fourth proportional to 73,765.49, 110,541.92 and 42,077.88 is: 63,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,765.49 : 110,541.92 = 42,077.88 : x
  2. Step 2: Convert to fraction form
    73,765.49/110,541.92 = 42,077.88/x
  3. Step 3: Cross multiply
    73,765.49x = 110,541.92 × 42,077.88
  4. Step 4: Simplify right side
    73,765.49x = 4,651,369,434.34
  5. Step 5: Solve for x
    x = 4,651,369,434.34/73,765.49
  6. Step 6: Final answer
    x = 63,056.18

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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.