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Finding the Fourth Proportional to 32,594.88, 48,886.08 and 9,220.48

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Solution

The fourth proportional to 32,594.88, 48,886.08 and 9,220.48 is: 13,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.88 : 48,886.08 = 9,220.48 : x
  2. Step 2: Convert to fraction form
    32,594.88/48,886.08 = 9,220.48/x
  3. Step 3: Cross multiply
    32,594.88x = 48,886.08 × 9,220.48
  4. Step 4: Simplify right side
    32,594.88x = 450,753,122.92
  5. Step 5: Solve for x
    x = 450,753,122.92/32,594.88
  6. Step 6: Final answer
    x = 13,828.95

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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.