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Finding the Fourth Proportional to 38,705.65, 53,425.13 and 25,278.99

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Solution

The fourth proportional to 38,705.65, 53,425.13 and 25,278.99 is: 34,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.65 : 53,425.13 = 25,278.99 : x
  2. Step 2: Convert to fraction form
    38,705.65/53,425.13 = 25,278.99/x
  3. Step 3: Cross multiply
    38,705.65x = 53,425.13 × 25,278.99
  4. Step 4: Simplify right side
    38,705.65x = 1,350,533,059.89
  5. Step 5: Solve for x
    x = 1,350,533,059.89/38,705.65
  6. Step 6: Final answer
    x = 34,892.41

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Why These Related Problems?

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