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Finding the Fourth Proportional to 98,423.26, 147,658.30 and 31,863.40

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Solution

The fourth proportional to 98,423.26, 147,658.30 and 31,863.40 is: 47,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,423.26 : 147,658.30 = 31,863.40 : x
  2. Step 2: Convert to fraction form
    98,423.26/147,658.30 = 31,863.40/x
  3. Step 3: Cross multiply
    98,423.26x = 147,658.30 × 31,863.40
  4. Step 4: Simplify right side
    98,423.26x = 4,704,895,476.22
  5. Step 5: Solve for x
    x = 4,704,895,476.22/98,423.26
  6. Step 6: Final answer
    x = 47,802.68

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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.