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Finding the Fourth Proportional to 32,184.66, 48,277.02 and 18,304.50

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Solution

The fourth proportional to 32,184.66, 48,277.02 and 18,304.50 is: 27,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.66 : 48,277.02 = 18,304.50 : x
  2. Step 2: Convert to fraction form
    32,184.66/48,277.02 = 18,304.50/x
  3. Step 3: Cross multiply
    32,184.66x = 48,277.02 × 18,304.50
  4. Step 4: Simplify right side
    32,184.66x = 883,686,712.59
  5. Step 5: Solve for x
    x = 883,686,712.59/32,184.66
  6. Step 6: Final answer
    x = 27,456.77

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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.