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Finding the Fourth Proportional to 52,134.50, 78,189.76 and 31,080.49

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Solution

The fourth proportional to 52,134.50, 78,189.76 and 31,080.49 is: 46,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.50 : 78,189.76 = 31,080.49 : x
  2. Step 2: Convert to fraction form
    52,134.50/78,189.76 = 31,080.49/x
  3. Step 3: Cross multiply
    52,134.50x = 78,189.76 × 31,080.49
  4. Step 4: Simplify right side
    52,134.50x = 2,430,175,897.16
  5. Step 5: Solve for x
    x = 2,430,175,897.16/52,134.50
  6. Step 6: Final answer
    x = 46,613.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.