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Finding the Fourth Proportional to 32,232.60, 48,319.74 and 11,451.24

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Solution

The fourth proportional to 32,232.60, 48,319.74 and 11,451.24 is: 17,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.60 : 48,319.74 = 11,451.24 : x
  2. Step 2: Convert to fraction form
    32,232.60/48,319.74 = 11,451.24/x
  3. Step 3: Cross multiply
    32,232.60x = 48,319.74 × 11,451.24
  4. Step 4: Simplify right side
    32,232.60x = 553,320,939.48
  5. Step 5: Solve for x
    x = 553,320,939.48/32,232.60
  6. Step 6: Final answer
    x = 17,166.50

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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.