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Finding the Fourth Proportional to 52,031.90, 71,784.68 and 34,136.84

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Solution

The fourth proportional to 52,031.90, 71,784.68 and 34,136.84 is: 47,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.90 : 71,784.68 = 34,136.84 : x
  2. Step 2: Convert to fraction form
    52,031.90/71,784.68 = 34,136.84/x
  3. Step 3: Cross multiply
    52,031.90x = 71,784.68 × 34,136.84
  4. Step 4: Simplify right side
    52,031.90x = 2,450,502,135.61
  5. Step 5: Solve for x
    x = 2,450,502,135.61/52,031.90
  6. Step 6: Final answer
    x = 47,096.15

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