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Finding the Fourth Proportional to 32,535.57, 48,807.31 and 9,162.01

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Solution

The fourth proportional to 32,535.57, 48,807.31 and 9,162.01 is: 13,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,535.57 : 48,807.31 = 9,162.01 : x
  2. Step 2: Convert to fraction form
    32,535.57/48,807.31 = 9,162.01/x
  3. Step 3: Cross multiply
    32,535.57x = 48,807.31 × 9,162.01
  4. Step 4: Simplify right side
    32,535.57x = 447,173,117.58
  5. Step 5: Solve for x
    x = 447,173,117.58/32,535.57
  6. Step 6: Final answer
    x = 13,744.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.