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Finding the Fourth Proportional to 32,964.60, 49,432.50 and 9,590.52

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Solution

The fourth proportional to 32,964.60, 49,432.50 and 9,590.52 is: 14,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.60 : 49,432.50 = 9,590.52 : x
  2. Step 2: Convert to fraction form
    32,964.60/49,432.50 = 9,590.52/x
  3. Step 3: Cross multiply
    32,964.60x = 49,432.50 × 9,590.52
  4. Step 4: Simplify right side
    32,964.60x = 474,083,379.90
  5. Step 5: Solve for x
    x = 474,083,379.90/32,964.60
  6. Step 6: Final answer
    x = 14,381.59

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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.