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Finding the Fourth Proportional to 98,536.91, 147,916.13 and 39,414.20

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Solution

The fourth proportional to 98,536.91, 147,916.13 and 39,414.20 is: 59,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.91 : 147,916.13 = 39,414.20 : x
  2. Step 2: Convert to fraction form
    98,536.91/147,916.13 = 39,414.20/x
  3. Step 3: Cross multiply
    98,536.91x = 147,916.13 × 39,414.20
  4. Step 4: Simplify right side
    98,536.91x = 5,829,994,994.39
  5. Step 5: Solve for x
    x = 5,829,994,994.39/98,536.91
  6. Step 6: Final answer
    x = 59,165.60

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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.