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Finding the Fourth Proportional to 34,753, 52,139.10 and 10,129

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Solution

The fourth proportional to 34,753, 52,139.10 and 10,129 is: 15,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753 : 52,139.10 = 10,129 : x
  2. Step 2: Convert to fraction form
    34,753/52,139.10 = 10,129/x
  3. Step 3: Cross multiply
    34,753x = 52,139.10 × 10,129
  4. Step 4: Simplify right side
    34,753x = 528,116,943.90
  5. Step 5: Solve for x
    x = 528,116,943.90/34,753
  6. Step 6: Final answer
    x = 15,196.30

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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.