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Finding the Fourth Proportional to 32,281.74, 48,423.78 and 8,910

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Solution

The fourth proportional to 32,281.74, 48,423.78 and 8,910 is: 13,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.74 : 48,423.78 = 8,910 : x
  2. Step 2: Convert to fraction form
    32,281.74/48,423.78 = 8,910/x
  3. Step 3: Cross multiply
    32,281.74x = 48,423.78 × 8,910
  4. Step 4: Simplify right side
    32,281.74x = 431,455,879.80
  5. Step 5: Solve for x
    x = 431,455,879.80/32,281.74
  6. Step 6: Final answer
    x = 13,365.32

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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.