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Finding the Fourth Proportional to 30,071.71, 45,107.03 and 10,349.83

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Solution

The fourth proportional to 30,071.71, 45,107.03 and 10,349.83 is: 15,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.71 : 45,107.03 = 10,349.83 : x
  2. Step 2: Convert to fraction form
    30,071.71/45,107.03 = 10,349.83/x
  3. Step 3: Cross multiply
    30,071.71x = 45,107.03 × 10,349.83
  4. Step 4: Simplify right side
    30,071.71x = 466,849,862.62
  5. Step 5: Solve for x
    x = 466,849,862.62/30,071.71
  6. Step 6: Final answer
    x = 15,524.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.