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Finding the Fourth Proportional to 34,681, 52,022.94 and 10,057

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Solution

The fourth proportional to 34,681, 52,022.94 and 10,057 is: 15,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681 : 52,022.94 = 10,057 : x
  2. Step 2: Convert to fraction form
    34,681/52,022.94 = 10,057/x
  3. Step 3: Cross multiply
    34,681x = 52,022.94 × 10,057
  4. Step 4: Simplify right side
    34,681x = 523,194,707.58
  5. Step 5: Solve for x
    x = 523,194,707.58/34,681
  6. Step 6: Final answer
    x = 15,085.92

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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.