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Finding the Fourth Proportional to 98,397.63, 147,585.51 and 35,215.20

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Solution

The fourth proportional to 98,397.63, 147,585.51 and 35,215.20 is: 52,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.63 : 147,585.51 = 35,215.20 : x
  2. Step 2: Convert to fraction form
    98,397.63/147,585.51 = 35,215.20/x
  3. Step 3: Cross multiply
    98,397.63x = 147,585.51 × 35,215.20
  4. Step 4: Simplify right side
    98,397.63x = 5,197,253,251.75
  5. Step 5: Solve for x
    x = 5,197,253,251.75/98,397.63
  6. Step 6: Final answer
    x = 52,818.89

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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.