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Finding the Fourth Proportional to 98,294.40, 147,462.88 and 31,738.24

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Solution

The fourth proportional to 98,294.40, 147,462.88 and 31,738.24 is: 47,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.40 : 147,462.88 = 31,738.24 : x
  2. Step 2: Convert to fraction form
    98,294.40/147,462.88 = 31,738.24/x
  3. Step 3: Cross multiply
    98,294.40x = 147,462.88 × 31,738.24
  4. Step 4: Simplify right side
    98,294.40x = 4,680,212,276.53
  5. Step 5: Solve for x
    x = 4,680,212,276.53/98,294.40
  6. Step 6: Final answer
    x = 47,614.23

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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.