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Finding the Fourth Proportional to 48,762.95, 67,293.18 and 27,541.76

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Solution

The fourth proportional to 48,762.95, 67,293.18 and 27,541.76 is: 38,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762.95 : 67,293.18 = 27,541.76 : x
  2. Step 2: Convert to fraction form
    48,762.95/67,293.18 = 27,541.76/x
  3. Step 3: Cross multiply
    48,762.95x = 67,293.18 × 27,541.76
  4. Step 4: Simplify right side
    48,762.95x = 1,853,372,276.73
  5. Step 5: Solve for x
    x = 1,853,372,276.73/48,762.95
  6. Step 6: Final answer
    x = 38,007.80

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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.