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Finding the Fourth Proportional to 32,688.39, 49,040.82 and 9,314.76

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Solution

The fourth proportional to 32,688.39, 49,040.82 and 9,314.76 is: 13,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688.39 : 49,040.82 = 9,314.76 : x
  2. Step 2: Convert to fraction form
    32,688.39/49,040.82 = 9,314.76/x
  3. Step 3: Cross multiply
    32,688.39x = 49,040.82 × 9,314.76
  4. Step 4: Simplify right side
    32,688.39x = 456,803,468.50
  5. Step 5: Solve for x
    x = 456,803,468.50/32,688.39
  6. Step 6: Final answer
    x = 13,974.49

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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.