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Finding the Fourth Proportional to 92,533.92, 138,780.16 and 42,566.08

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Solution

The fourth proportional to 92,533.92, 138,780.16 and 42,566.08 is: 63,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,533.92 : 138,780.16 = 42,566.08 : x
  2. Step 2: Convert to fraction form
    92,533.92/138,780.16 = 42,566.08/x
  3. Step 3: Cross multiply
    92,533.92x = 138,780.16 × 42,566.08
  4. Step 4: Simplify right side
    92,533.92x = 5,907,327,392.97
  5. Step 5: Solve for x
    x = 5,907,327,392.97/92,533.92
  6. Step 6: Final answer
    x = 63,839.59

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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.