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Finding the Fourth Proportional to 98,180.49, 147,290.18 and 31,615.50

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Solution

The fourth proportional to 98,180.49, 147,290.18 and 31,615.50 is: 47,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,180.49 : 147,290.18 = 31,615.50 : x
  2. Step 2: Convert to fraction form
    98,180.49/147,290.18 = 31,615.50/x
  3. Step 3: Cross multiply
    98,180.49x = 147,290.18 × 31,615.50
  4. Step 4: Simplify right side
    98,180.49x = 4,656,652,685.79
  5. Step 5: Solve for x
    x = 4,656,652,685.79/98,180.49
  6. Step 6: Final answer
    x = 47,429.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.