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Finding the Fourth Proportional to 98,838.50, 148,272.24 and 31,348.03

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Solution

The fourth proportional to 98,838.50, 148,272.24 and 31,348.03 is: 47,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,838.50 : 148,272.24 = 31,348.03 : x
  2. Step 2: Convert to fraction form
    98,838.50/148,272.24 = 31,348.03/x
  3. Step 3: Cross multiply
    98,838.50x = 148,272.24 × 31,348.03
  4. Step 4: Simplify right side
    98,838.50x = 4,648,042,627.69
  5. Step 5: Solve for x
    x = 4,648,042,627.69/98,838.50
  6. Step 6: Final answer
    x = 47,026.64

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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.