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Finding the Fourth Proportional to 70,701.87, 106,056.72 and 23,315.05

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Solution

The fourth proportional to 70,701.87, 106,056.72 and 23,315.05 is: 34,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701.87 : 106,056.72 = 23,315.05 : x
  2. Step 2: Convert to fraction form
    70,701.87/106,056.72 = 23,315.05/x
  3. Step 3: Cross multiply
    70,701.87x = 106,056.72 × 23,315.05
  4. Step 4: Simplify right side
    70,701.87x = 2,472,717,729.64
  5. Step 5: Solve for x
    x = 2,472,717,729.64/70,701.87
  6. Step 6: Final answer
    x = 34,973.87

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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.