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Finding the Fourth Proportional to 31,506.60, 47,259.90 and 22,823.40

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Solution

The fourth proportional to 31,506.60, 47,259.90 and 22,823.40 is: 34,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.60 : 47,259.90 = 22,823.40 : x
  2. Step 2: Convert to fraction form
    31,506.60/47,259.90 = 22,823.40/x
  3. Step 3: Cross multiply
    31,506.60x = 47,259.90 × 22,823.40
  4. Step 4: Simplify right side
    31,506.60x = 1,078,631,601.66
  5. Step 5: Solve for x
    x = 1,078,631,601.66/31,506.60
  6. Step 6: Final answer
    x = 34,235.10

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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.