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Finding the Fourth Proportional to 38,338.48, 57,531.63 and 14,648.14

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Solution

The fourth proportional to 38,338.48, 57,531.63 and 14,648.14 is: 21,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.48 : 57,531.63 = 14,648.14 : x
  2. Step 2: Convert to fraction form
    38,338.48/57,531.63 = 14,648.14/x
  3. Step 3: Cross multiply
    38,338.48x = 57,531.63 × 14,648.14
  4. Step 4: Simplify right side
    38,338.48x = 842,731,497.51
  5. Step 5: Solve for x
    x = 842,731,497.51/38,338.48
  6. Step 6: Final answer
    x = 21,981.35

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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.