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Finding the Fourth Proportional to 109,892.90, 164,839.35 and 31,006.10

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Solution

The fourth proportional to 109,892.90, 164,839.35 and 31,006.10 is: 46,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.90 : 164,839.35 = 31,006.10 : x
  2. Step 2: Convert to fraction form
    109,892.90/164,839.35 = 31,006.10/x
  3. Step 3: Cross multiply
    109,892.90x = 164,839.35 × 31,006.10
  4. Step 4: Simplify right side
    109,892.90x = 5,111,025,370.04
  5. Step 5: Solve for x
    x = 5,111,025,370.04/109,892.90
  6. Step 6: Final answer
    x = 46,509.15

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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.