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Finding the Fourth Proportional to 32,002.56, 47,623.68 and 30,758.40

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Solution

The fourth proportional to 32,002.56, 47,623.68 and 30,758.40 is: 45,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.56 : 47,623.68 = 30,758.40 : x
  2. Step 2: Convert to fraction form
    32,002.56/47,623.68 = 30,758.40/x
  3. Step 3: Cross multiply
    32,002.56x = 47,623.68 × 30,758.40
  4. Step 4: Simplify right side
    32,002.56x = 1,464,828,198.91
  5. Step 5: Solve for x
    x = 1,464,828,198.91/32,002.56
  6. Step 6: Final answer
    x = 45,772.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.