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Finding the Fourth Proportional to 32,677.40, 49,017.96 and 9,302

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Solution

The fourth proportional to 32,677.40, 49,017.96 and 9,302 is: 13,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.40 : 49,017.96 = 9,302 : x
  2. Step 2: Convert to fraction form
    32,677.40/49,017.96 = 9,302/x
  3. Step 3: Cross multiply
    32,677.40x = 49,017.96 × 9,302
  4. Step 4: Simplify right side
    32,677.40x = 455,965,063.92
  5. Step 5: Solve for x
    x = 455,965,063.92/32,677.40
  6. Step 6: Final answer
    x = 13,953.53

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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.