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Finding the Fourth Proportional to 32,345.57, 48,523.89 and 14,816.90

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Solution

The fourth proportional to 32,345.57, 48,523.89 and 14,816.90 is: 22,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.57 : 48,523.89 = 14,816.90 : x
  2. Step 2: Convert to fraction form
    32,345.57/48,523.89 = 14,816.90/x
  3. Step 3: Cross multiply
    32,345.57x = 48,523.89 × 14,816.90
  4. Step 4: Simplify right side
    32,345.57x = 718,973,625.74
  5. Step 5: Solve for x
    x = 718,973,625.74/32,345.57
  6. Step 6: Final answer
    x = 22,227.89

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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.