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Finding the Fourth Proportional to 31,911.08, 47,871.68 and 9,719.30

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Solution

The fourth proportional to 31,911.08, 47,871.68 and 9,719.30 is: 14,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.08 : 47,871.68 = 9,719.30 : x
  2. Step 2: Convert to fraction form
    31,911.08/47,871.68 = 9,719.30/x
  3. Step 3: Cross multiply
    31,911.08x = 47,871.68 × 9,719.30
  4. Step 4: Simplify right side
    31,911.08x = 465,279,290.51
  5. Step 5: Solve for x
    x = 465,279,290.51/31,911.08
  6. Step 6: Final answer
    x = 14,580.50

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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.