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Finding the Fourth Proportional to 70,492.38, 105,754.77 and 31,052.54

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Solution

The fourth proportional to 70,492.38, 105,754.77 and 31,052.54 is: 46,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.38 : 105,754.77 = 31,052.54 : x
  2. Step 2: Convert to fraction form
    70,492.38/105,754.77 = 31,052.54/x
  3. Step 3: Cross multiply
    70,492.38x = 105,754.77 × 31,052.54
  4. Step 4: Simplify right side
    70,492.38x = 3,283,954,225.62
  5. Step 5: Solve for x
    x = 3,283,954,225.62/70,492.38
  6. Step 6: Final answer
    x = 46,585.95

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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.