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Finding the Fourth Proportional to 37,153, 55,732.74 and 9,451

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Solution

The fourth proportional to 37,153, 55,732.74 and 9,451 is: 14,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,153 : 55,732.74 = 9,451 : x
  2. Step 2: Convert to fraction form
    37,153/55,732.74 = 9,451/x
  3. Step 3: Cross multiply
    37,153x = 55,732.74 × 9,451
  4. Step 4: Simplify right side
    37,153x = 526,730,125.74
  5. Step 5: Solve for x
    x = 526,730,125.74/37,153
  6. Step 6: Final answer
    x = 14,177.32

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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.