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Finding the Fourth Proportional to 31,648.12, 47,488.68 and 22,954.79

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Solution

The fourth proportional to 31,648.12, 47,488.68 and 22,954.79 is: 34,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.12 : 47,488.68 = 22,954.79 : x
  2. Step 2: Convert to fraction form
    31,648.12/47,488.68 = 22,954.79/x
  3. Step 3: Cross multiply
    31,648.12x = 47,488.68 × 22,954.79
  4. Step 4: Simplify right side
    31,648.12x = 1,090,092,795.50
  5. Step 5: Solve for x
    x = 1,090,092,795.50/31,648.12
  6. Step 6: Final answer
    x = 34,444.16

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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.