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Finding the Fourth Proportional to 70,971.60, 106,531.24 and 52,272.74

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Solution

The fourth proportional to 70,971.60, 106,531.24 and 52,272.74 is: 78,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.60 : 106,531.24 = 52,272.74 : x
  2. Step 2: Convert to fraction form
    70,971.60/106,531.24 = 52,272.74/x
  3. Step 3: Cross multiply
    70,971.60x = 106,531.24 × 52,272.74
  4. Step 4: Simplify right side
    70,971.60x = 5,568,679,810.40
  5. Step 5: Solve for x
    x = 5,568,679,810.40/70,971.60
  6. Step 6: Final answer
    x = 78,463.50

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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.