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Finding the Fourth Proportional to 38,564.95, 53,219.48 and 21,569.13

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Solution

The fourth proportional to 38,564.95, 53,219.48 and 21,569.13 is: 29,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.95 : 53,219.48 = 21,569.13 : x
  2. Step 2: Convert to fraction form
    38,564.95/53,219.48 = 21,569.13/x
  3. Step 3: Cross multiply
    38,564.95x = 53,219.48 × 21,569.13
  4. Step 4: Simplify right side
    38,564.95x = 1,147,897,882.65
  5. Step 5: Solve for x
    x = 1,147,897,882.65/38,564.95
  6. Step 6: Final answer
    x = 29,765.31

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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.