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Finding the Fourth Proportional to 70,538.92, 105,816.41 and 25,581.46

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Solution

The fourth proportional to 70,538.92, 105,816.41 and 25,581.46 is: 38,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.92 : 105,816.41 = 25,581.46 : x
  2. Step 2: Convert to fraction form
    70,538.92/105,816.41 = 25,581.46/x
  3. Step 3: Cross multiply
    70,538.92x = 105,816.41 × 25,581.46
  4. Step 4: Simplify right side
    70,538.92x = 2,706,938,259.76
  5. Step 5: Solve for x
    x = 2,706,938,259.76/70,538.92
  6. Step 6: Final answer
    x = 38,375.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.