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Finding the Fourth Proportional to 70,492.40, 105,737.88 and 23,744.96

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Solution

The fourth proportional to 70,492.40, 105,737.88 and 23,744.96 is: 35,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.40 : 105,737.88 = 23,744.96 : x
  2. Step 2: Convert to fraction form
    70,492.40/105,737.88 = 23,744.96/x
  3. Step 3: Cross multiply
    70,492.40x = 105,737.88 × 23,744.96
  4. Step 4: Simplify right side
    70,492.40x = 2,510,741,731.08
  5. Step 5: Solve for x
    x = 2,510,741,731.08/70,492.40
  6. Step 6: Final answer
    x = 35,617.20

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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.