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Finding the Fourth Proportional to 67,532.50, 101,217.84 and 31,460.32

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Solution

The fourth proportional to 67,532.50, 101,217.84 and 31,460.32 is: 47,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,532.50 : 101,217.84 = 31,460.32 : x
  2. Step 2: Convert to fraction form
    67,532.50/101,217.84 = 31,460.32/x
  3. Step 3: Cross multiply
    67,532.50x = 101,217.84 × 31,460.32
  4. Step 4: Simplify right side
    67,532.50x = 3,184,345,636.11
  5. Step 5: Solve for x
    x = 3,184,345,636.11/67,532.50
  6. Step 6: Final answer
    x = 47,152.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.