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Finding the Fourth Proportional to 37,129.71, 55,693.64 and 10,834.68

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Solution

The fourth proportional to 37,129.71, 55,693.64 and 10,834.68 is: 16,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.71 : 55,693.64 = 10,834.68 : x
  2. Step 2: Convert to fraction form
    37,129.71/55,693.64 = 10,834.68/x
  3. Step 3: Cross multiply
    37,129.71x = 55,693.64 × 10,834.68
  4. Step 4: Simplify right side
    37,129.71x = 603,422,690.10
  5. Step 5: Solve for x
    x = 603,422,690.10/37,129.71
  6. Step 6: Final answer
    x = 16,251.75

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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.