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Finding the Fourth Proportional to 38,705.48, 53,400.95 and 22,569.14

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Solution

The fourth proportional to 38,705.48, 53,400.95 and 22,569.14 is: 31,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.48 : 53,400.95 = 22,569.14 : x
  2. Step 2: Convert to fraction form
    38,705.48/53,400.95 = 22,569.14/x
  3. Step 3: Cross multiply
    38,705.48x = 53,400.95 × 22,569.14
  4. Step 4: Simplify right side
    38,705.48x = 1,205,213,621.97
  5. Step 5: Solve for x
    x = 1,205,213,621.97/38,705.48
  6. Step 6: Final answer
    x = 31,138.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.