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Finding the Fourth Proportional to 97,863.63, 146,818.76 and 34,689.27

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Solution

The fourth proportional to 97,863.63, 146,818.76 and 34,689.27 is: 52,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,863.63 : 146,818.76 = 34,689.27 : x
  2. Step 2: Convert to fraction form
    97,863.63/146,818.76 = 34,689.27/x
  3. Step 3: Cross multiply
    97,863.63x = 146,818.76 × 34,689.27
  4. Step 4: Simplify right side
    97,863.63x = 5,093,035,606.71
  5. Step 5: Solve for x
    x = 5,093,035,606.71/97,863.63
  6. Step 6: Final answer
    x = 52,042.17

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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.