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Finding the Fourth Proportional to 38,874.35, 53,597.56 and 25,424.30

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Solution

The fourth proportional to 38,874.35, 53,597.56 and 25,424.30 is: 35,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.35 : 53,597.56 = 25,424.30 : x
  2. Step 2: Convert to fraction form
    38,874.35/53,597.56 = 25,424.30/x
  3. Step 3: Cross multiply
    38,874.35x = 53,597.56 × 25,424.30
  4. Step 4: Simplify right side
    38,874.35x = 1,362,680,444.71
  5. Step 5: Solve for x
    x = 1,362,680,444.71/38,874.35
  6. Step 6: Final answer
    x = 35,053.46

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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.