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Finding the Fourth Proportional to 38,349.90, 57,501.36 and 14,949

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Solution

The fourth proportional to 38,349.90, 57,501.36 and 14,949 is: 22,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349.90 : 57,501.36 = 14,949 : x
  2. Step 2: Convert to fraction form
    38,349.90/57,501.36 = 14,949/x
  3. Step 3: Cross multiply
    38,349.90x = 57,501.36 × 14,949
  4. Step 4: Simplify right side
    38,349.90x = 859,587,830.64
  5. Step 5: Solve for x
    x = 859,587,830.64/38,349.90
  6. Step 6: Final answer
    x = 22,414.34

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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.