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Finding the Fourth Proportional to 106,460.60, 159,724.60 and 31,581.04

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Solution

The fourth proportional to 106,460.60, 159,724.60 and 31,581.04 is: 47,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460.60 : 159,724.60 = 31,581.04 : x
  2. Step 2: Convert to fraction form
    106,460.60/159,724.60 = 31,581.04/x
  3. Step 3: Cross multiply
    106,460.60x = 159,724.60 × 31,581.04
  4. Step 4: Simplify right side
    106,460.60x = 5,044,268,981.58
  5. Step 5: Solve for x
    x = 5,044,268,981.58/106,460.60
  6. Step 6: Final answer
    x = 47,381.56

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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.