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Finding the Fourth Proportional to 32,434.60, 48,648.30 and 9,063.40

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Solution

The fourth proportional to 32,434.60, 48,648.30 and 9,063.40 is: 13,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.60 : 48,648.30 = 9,063.40 : x
  2. Step 2: Convert to fraction form
    32,434.60/48,648.30 = 9,063.40/x
  3. Step 3: Cross multiply
    32,434.60x = 48,648.30 × 9,063.40
  4. Step 4: Simplify right side
    32,434.60x = 440,919,002.22
  5. Step 5: Solve for x
    x = 440,919,002.22/32,434.60
  6. Step 6: Final answer
    x = 13,594.09

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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.