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Finding the Fourth Proportional to 70,225.60, 105,327.96 and 25,841.96

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Solution

The fourth proportional to 70,225.60, 105,327.96 and 25,841.96 is: 38,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,225.60 : 105,327.96 = 25,841.96 : x
  2. Step 2: Convert to fraction form
    70,225.60/105,327.96 = 25,841.96/x
  3. Step 3: Cross multiply
    70,225.60x = 105,327.96 × 25,841.96
  4. Step 4: Simplify right side
    70,225.60x = 2,721,880,929.20
  5. Step 5: Solve for x
    x = 2,721,880,929.20/70,225.60
  6. Step 6: Final answer
    x = 38,759.10

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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.