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Finding the Fourth Proportional to 39,034.21, 58,551.47 and 9,452

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Solution

The fourth proportional to 39,034.21, 58,551.47 and 9,452 is: 14,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034.21 : 58,551.47 = 9,452 : x
  2. Step 2: Convert to fraction form
    39,034.21/58,551.47 = 9,452/x
  3. Step 3: Cross multiply
    39,034.21x = 58,551.47 × 9,452
  4. Step 4: Simplify right side
    39,034.21x = 553,428,494.44
  5. Step 5: Solve for x
    x = 553,428,494.44/39,034.21
  6. Step 6: Final answer
    x = 14,178.04

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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.