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Finding the Fourth Proportional to 70,490.40, 105,734.88 and 23,742.96

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Solution

The fourth proportional to 70,490.40, 105,734.88 and 23,742.96 is: 35,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.40 : 105,734.88 = 23,742.96 : x
  2. Step 2: Convert to fraction form
    70,490.40/105,734.88 = 23,742.96/x
  3. Step 3: Cross multiply
    70,490.40x = 105,734.88 × 23,742.96
  4. Step 4: Simplify right side
    70,490.40x = 2,510,459,026.44
  5. Step 5: Solve for x
    x = 2,510,459,026.44/70,490.40
  6. Step 6: Final answer
    x = 35,614.20

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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.