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Finding the Fourth Proportional to 117,598.52, 176,422.96 and 36,543.84

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Solution

The fourth proportional to 117,598.52, 176,422.96 and 36,543.84 is: 54,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,598.52 : 176,422.96 = 36,543.84 : x
  2. Step 2: Convert to fraction form
    117,598.52/176,422.96 = 36,543.84/x
  3. Step 3: Cross multiply
    117,598.52x = 176,422.96 × 36,543.84
  4. Step 4: Simplify right side
    117,598.52x = 6,447,172,422.57
  5. Step 5: Solve for x
    x = 6,447,172,422.57/117,598.52
  6. Step 6: Final answer
    x = 54,823.58

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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.