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Finding the Fourth Proportional to 32,580.77, 48,854.75 and 15,915.83

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Solution

The fourth proportional to 32,580.77, 48,854.75 and 15,915.83 is: 23,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.77 : 48,854.75 = 15,915.83 : x
  2. Step 2: Convert to fraction form
    32,580.77/48,854.75 = 15,915.83/x
  3. Step 3: Cross multiply
    32,580.77x = 48,854.75 × 15,915.83
  4. Step 4: Simplify right side
    32,580.77x = 777,563,571.84
  5. Step 5: Solve for x
    x = 777,563,571.84/32,580.77
  6. Step 6: Final answer
    x = 23,865.72

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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.