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Finding the Fourth Proportional to 70,463.60, 105,711.24 and 23,715.12

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Solution

The fourth proportional to 70,463.60, 105,711.24 and 23,715.12 is: 35,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,463.60 : 105,711.24 = 23,715.12 : x
  2. Step 2: Convert to fraction form
    70,463.60/105,711.24 = 23,715.12/x
  3. Step 3: Cross multiply
    70,463.60x = 105,711.24 × 23,715.12
  4. Step 4: Simplify right side
    70,463.60x = 2,506,954,741.95
  5. Step 5: Solve for x
    x = 2,506,954,741.95/70,463.60
  6. Step 6: Final answer
    x = 35,578.01

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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.