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Finding the Fourth Proportional to 98,422.26, 147,656.80 and 31,862.40

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Solution

The fourth proportional to 98,422.26, 147,656.80 and 31,862.40 is: 47,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.26 : 147,656.80 = 31,862.40 : x
  2. Step 2: Convert to fraction form
    98,422.26/147,656.80 = 31,862.40/x
  3. Step 3: Cross multiply
    98,422.26x = 147,656.80 × 31,862.40
  4. Step 4: Simplify right side
    98,422.26x = 4,704,700,024.32
  5. Step 5: Solve for x
    x = 4,704,700,024.32/98,422.26
  6. Step 6: Final answer
    x = 47,801.18

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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.