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Finding the Fourth Proportional to 70,591.50, 97,438.14 and 45,441

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Solution

The fourth proportional to 70,591.50, 97,438.14 and 45,441 is: 62,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.50 : 97,438.14 = 45,441 : x
  2. Step 2: Convert to fraction form
    70,591.50/97,438.14 = 45,441/x
  3. Step 3: Cross multiply
    70,591.50x = 97,438.14 × 45,441
  4. Step 4: Simplify right side
    70,591.50x = 4,427,686,519.74
  5. Step 5: Solve for x
    x = 4,427,686,519.74/70,591.50
  6. Step 6: Final answer
    x = 62,722.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.