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Finding the Fourth Proportional to 98,422.90, 147,657.72 and 31,863.04

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Solution

The fourth proportional to 98,422.90, 147,657.72 and 31,863.04 is: 47,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.90 : 147,657.72 = 31,863.04 : x
  2. Step 2: Convert to fraction form
    98,422.90/147,657.72 = 31,863.04/x
  3. Step 3: Cross multiply
    98,422.90x = 147,657.72 × 31,863.04
  4. Step 4: Simplify right side
    98,422.90x = 4,704,823,838.67
  5. Step 5: Solve for x
    x = 4,704,823,838.67/98,422.90
  6. Step 6: Final answer
    x = 47,802.13

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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.