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Finding the Fourth Proportional to 32,262, 48,398.40 and 10,071.96

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Solution

The fourth proportional to 32,262, 48,398.40 and 10,071.96 is: 15,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262 : 48,398.40 = 10,071.96 : x
  2. Step 2: Convert to fraction form
    32,262/48,398.40 = 10,071.96/x
  3. Step 3: Cross multiply
    32,262x = 48,398.40 × 10,071.96
  4. Step 4: Simplify right side
    32,262x = 487,466,748.86
  5. Step 5: Solve for x
    x = 487,466,748.86/32,262
  6. Step 6: Final answer
    x = 15,109.63

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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.