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Finding the Fourth Proportional to 102,575.97, 153,931.27 and 36,014.39

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Solution

The fourth proportional to 102,575.97, 153,931.27 and 36,014.39 is: 54,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.97 : 153,931.27 = 36,014.39 : x
  2. Step 2: Convert to fraction form
    102,575.97/153,931.27 = 36,014.39/x
  3. Step 3: Cross multiply
    102,575.97x = 153,931.27 × 36,014.39
  4. Step 4: Simplify right side
    102,575.97x = 5,543,740,790.98
  5. Step 5: Solve for x
    x = 5,543,740,790.98/102,575.97
  6. Step 6: Final answer
    x = 54,045.22

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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.