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Finding the Fourth Proportional to 31,498.92, 47,249.04 and 9,312.30

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Solution

The fourth proportional to 31,498.92, 47,249.04 and 9,312.30 is: 13,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.92 : 47,249.04 = 9,312.30 : x
  2. Step 2: Convert to fraction form
    31,498.92/47,249.04 = 9,312.30/x
  3. Step 3: Cross multiply
    31,498.92x = 47,249.04 × 9,312.30
  4. Step 4: Simplify right side
    31,498.92x = 439,997,235.19
  5. Step 5: Solve for x
    x = 439,997,235.19/31,498.92
  6. Step 6: Final answer
    x = 13,968.65

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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.