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Finding the Fourth Proportional to 109,689.71, 164,534.56 and 26,583.71

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Solution

The fourth proportional to 109,689.71, 164,534.56 and 26,583.71 is: 39,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689.71 : 164,534.56 = 26,583.71 : x
  2. Step 2: Convert to fraction form
    109,689.71/164,534.56 = 26,583.71/x
  3. Step 3: Cross multiply
    109,689.71x = 164,534.56 × 26,583.71
  4. Step 4: Simplify right side
    109,689.71x = 4,373,938,138.89
  5. Step 5: Solve for x
    x = 4,373,938,138.89/109,689.71
  6. Step 6: Final answer
    x = 39,875.56

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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.