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Finding the Fourth Proportional to 32,264.32, 48,409 and 12,556.72

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Solution

The fourth proportional to 32,264.32, 48,409 and 12,556.72 is: 18,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264.32 : 48,409 = 12,556.72 : x
  2. Step 2: Convert to fraction form
    32,264.32/48,409 = 12,556.72/x
  3. Step 3: Cross multiply
    32,264.32x = 48,409 × 12,556.72
  4. Step 4: Simplify right side
    32,264.32x = 607,858,258.48
  5. Step 5: Solve for x
    x = 607,858,258.48/32,264.32
  6. Step 6: Final answer
    x = 18,839.95

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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.