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Finding the Fourth Proportional to 70,532.42, 105,774.02 and 31,068

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Solution

The fourth proportional to 70,532.42, 105,774.02 and 31,068 is: 46,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,532.42 : 105,774.02 = 31,068 : x
  2. Step 2: Convert to fraction form
    70,532.42/105,774.02 = 31,068/x
  3. Step 3: Cross multiply
    70,532.42x = 105,774.02 × 31,068
  4. Step 4: Simplify right side
    70,532.42x = 3,286,187,253.36
  5. Step 5: Solve for x
    x = 3,286,187,253.36/70,532.42
  6. Step 6: Final answer
    x = 46,591.16

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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.