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Finding the Fourth Proportional to 103,577.47, 155,368.28 and 32,498.61

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Solution

The fourth proportional to 103,577.47, 155,368.28 and 32,498.61 is: 48,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,577.47 : 155,368.28 = 32,498.61 : x
  2. Step 2: Convert to fraction form
    103,577.47/155,368.28 = 32,498.61/x
  3. Step 3: Cross multiply
    103,577.47x = 155,368.28 × 32,498.61
  4. Step 4: Simplify right side
    103,577.47x = 5,049,253,138.09
  5. Step 5: Solve for x
    x = 5,049,253,138.09/103,577.47
  6. Step 6: Final answer
    x = 48,748.57

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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.