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Finding the Fourth Proportional to 98,838.27, 148,265.51 and 32,276.93

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Solution

The fourth proportional to 98,838.27, 148,265.51 and 32,276.93 is: 48,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,838.27 : 148,265.51 = 32,276.93 : x
  2. Step 2: Convert to fraction form
    98,838.27/148,265.51 = 32,276.93/x
  3. Step 3: Cross multiply
    98,838.27x = 148,265.51 × 32,276.93
  4. Step 4: Simplify right side
    98,838.27x = 4,785,554,584.97
  5. Step 5: Solve for x
    x = 4,785,554,584.97/98,838.27
  6. Step 6: Final answer
    x = 48,418.03

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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.