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Finding the Fourth Proportional to 51,348.60, 70,823.16 and 32,467.50

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Solution

The fourth proportional to 51,348.60, 70,823.16 and 32,467.50 is: 44,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,348.60 : 70,823.16 = 32,467.50 : x
  2. Step 2: Convert to fraction form
    51,348.60/70,823.16 = 32,467.50/x
  3. Step 3: Cross multiply
    51,348.60x = 70,823.16 × 32,467.50
  4. Step 4: Simplify right side
    51,348.60x = 2,299,450,947.30
  5. Step 5: Solve for x
    x = 2,299,450,947.30/51,348.60
  6. Step 6: Final answer
    x = 44,781.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.