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Finding the Fourth Proportional to 32,076, 48,123.72 and 11,304.36

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Solution

The fourth proportional to 32,076, 48,123.72 and 11,304.36 is: 16,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 48,123.72 = 11,304.36 : x
  2. Step 2: Convert to fraction form
    32,076/48,123.72 = 11,304.36/x
  3. Step 3: Cross multiply
    32,076x = 48,123.72 × 11,304.36
  4. Step 4: Simplify right side
    32,076x = 544,007,855.42
  5. Step 5: Solve for x
    x = 544,007,855.42/32,076
  6. Step 6: Final answer
    x = 16,959.97

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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.