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Finding the Fourth Proportional to 32,325.56, 48,488.35 and 8,952

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Solution

The fourth proportional to 32,325.56, 48,488.35 and 8,952 is: 13,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.56 : 48,488.35 = 8,952 : x
  2. Step 2: Convert to fraction form
    32,325.56/48,488.35 = 8,952/x
  3. Step 3: Cross multiply
    32,325.56x = 48,488.35 × 8,952
  4. Step 4: Simplify right side
    32,325.56x = 434,067,709.20
  5. Step 5: Solve for x
    x = 434,067,709.20/32,325.56
  6. Step 6: Final answer
    x = 13,428.00

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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.