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Finding the Fourth Proportional to 32,470.24, 48,712.74 and 10,285

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Solution

The fourth proportional to 32,470.24, 48,712.74 and 10,285 is: 15,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.24 : 48,712.74 = 10,285 : x
  2. Step 2: Convert to fraction form
    32,470.24/48,712.74 = 10,285/x
  3. Step 3: Cross multiply
    32,470.24x = 48,712.74 × 10,285
  4. Step 4: Simplify right side
    32,470.24x = 501,010,530.90
  5. Step 5: Solve for x
    x = 501,010,530.90/32,470.24
  6. Step 6: Final answer
    x = 15,429.84

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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.