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Finding the Fourth Proportional to 98,559.68, 147,862.76 and 31,994.69

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Solution

The fourth proportional to 98,559.68, 147,862.76 and 31,994.69 is: 47,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,559.68 : 147,862.76 = 31,994.69 : x
  2. Step 2: Convert to fraction form
    98,559.68/147,862.76 = 31,994.69/x
  3. Step 3: Cross multiply
    98,559.68x = 147,862.76 × 31,994.69
  4. Step 4: Simplify right side
    98,559.68x = 4,730,822,269.46
  5. Step 5: Solve for x
    x = 4,730,822,269.46/98,559.68
  6. Step 6: Final answer
    x = 47,999.57

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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.