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Finding the Fourth Proportional to 65,295.59, 97,942.97 and 31,522.20

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Solution

The fourth proportional to 65,295.59, 97,942.97 and 31,522.20 is: 47,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.59 : 97,942.97 = 31,522.20 : x
  2. Step 2: Convert to fraction form
    65,295.59/97,942.97 = 31,522.20/x
  3. Step 3: Cross multiply
    65,295.59x = 97,942.97 × 31,522.20
  4. Step 4: Simplify right side
    65,295.59x = 3,087,377,600.45
  5. Step 5: Solve for x
    x = 3,087,377,600.45/65,295.59
  6. Step 6: Final answer
    x = 47,283.10

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1.5x scale

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.