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Finding the Fourth Proportional to 92,535.14, 138,803.84 and 32,565.40

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Solution

The fourth proportional to 92,535.14, 138,803.84 and 32,565.40 is: 48,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,535.14 : 138,803.84 = 32,565.40 : x
  2. Step 2: Convert to fraction form
    92,535.14/138,803.84 = 32,565.40/x
  3. Step 3: Cross multiply
    92,535.14x = 138,803.84 × 32,565.40
  4. Step 4: Simplify right side
    92,535.14x = 4,520,202,571.14
  5. Step 5: Solve for x
    x = 4,520,202,571.14/92,535.14
  6. Step 6: Final answer
    x = 48,848.50

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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.