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Finding the Fourth Proportional to 61,530.96, 92,267.28 and 31,919.16

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Solution

The fourth proportional to 61,530.96, 92,267.28 and 31,919.16 is: 47,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530.96 : 92,267.28 = 31,919.16 : x
  2. Step 2: Convert to fraction form
    61,530.96/92,267.28 = 31,919.16/x
  3. Step 3: Cross multiply
    61,530.96x = 92,267.28 × 31,919.16
  4. Step 4: Simplify right side
    61,530.96x = 2,945,094,073.08
  5. Step 5: Solve for x
    x = 2,945,094,073.08/61,530.96
  6. Step 6: Final answer
    x = 47,863.61

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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.