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Finding the Fourth Proportional to 55,472.76, 76,543.56 and 31,599.90

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Solution

The fourth proportional to 55,472.76, 76,543.56 and 31,599.90 is: 43,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,472.76 : 76,543.56 = 31,599.90 : x
  2. Step 2: Convert to fraction form
    55,472.76/76,543.56 = 31,599.90/x
  3. Step 3: Cross multiply
    55,472.76x = 76,543.56 × 31,599.90
  4. Step 4: Simplify right side
    55,472.76x = 2,418,768,841.64
  5. Step 5: Solve for x
    x = 2,418,768,841.64/55,472.76
  6. Step 6: Final answer
    x = 43,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.