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Finding the Fourth Proportional to 78,563.95, 108,418.05 and 42,753.79

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Solution

The fourth proportional to 78,563.95, 108,418.05 and 42,753.79 is: 59,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.95 : 108,418.05 = 42,753.79 : x
  2. Step 2: Convert to fraction form
    78,563.95/108,418.05 = 42,753.79/x
  3. Step 3: Cross multiply
    78,563.95x = 108,418.05 × 42,753.79
  4. Step 4: Simplify right side
    78,563.95x = 4,635,282,541.91
  5. Step 5: Solve for x
    x = 4,635,282,541.91/78,563.95
  6. Step 6: Final answer
    x = 59,000.12

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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.