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Finding the Fourth Proportional to 32,677.56, 49,016.34 and 9,304

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Solution

The fourth proportional to 32,677.56, 49,016.34 and 9,304 is: 13,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.56 : 49,016.34 = 9,304 : x
  2. Step 2: Convert to fraction form
    32,677.56/49,016.34 = 9,304/x
  3. Step 3: Cross multiply
    32,677.56x = 49,016.34 × 9,304
  4. Step 4: Simplify right side
    32,677.56x = 456,048,027.36
  5. Step 5: Solve for x
    x = 456,048,027.36/32,677.56
  6. Step 6: Final answer
    x = 13,956.00

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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.