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Finding the Fourth Proportional to 59,364.24, 81,978.20 and 38,180.32

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Solution

The fourth proportional to 59,364.24, 81,978.20 and 38,180.32 is: 52,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,364.24 : 81,978.20 = 38,180.32 : x
  2. Step 2: Convert to fraction form
    59,364.24/81,978.20 = 38,180.32/x
  3. Step 3: Cross multiply
    59,364.24x = 81,978.20 × 38,180.32
  4. Step 4: Simplify right side
    59,364.24x = 3,129,953,909.02
  5. Step 5: Solve for x
    x = 3,129,953,909.02/59,364.24
  6. Step 6: Final answer
    x = 52,724.57

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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.