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Finding the Fourth Proportional to 73,732.50, 110,598.75 and 24,484.50

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Solution

The fourth proportional to 73,732.50, 110,598.75 and 24,484.50 is: 36,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,732.50 : 110,598.75 = 24,484.50 : x
  2. Step 2: Convert to fraction form
    73,732.50/110,598.75 = 24,484.50/x
  3. Step 3: Cross multiply
    73,732.50x = 110,598.75 × 24,484.50
  4. Step 4: Simplify right side
    73,732.50x = 2,707,955,094.38
  5. Step 5: Solve for x
    x = 2,707,955,094.38/73,732.50
  6. Step 6: Final answer
    x = 36,726.75

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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.