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Finding the Fourth Proportional to 32,466.20, 48,696.06 and 9,092.84

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Solution

The fourth proportional to 32,466.20, 48,696.06 and 9,092.84 is: 13,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.20 : 48,696.06 = 9,092.84 : x
  2. Step 2: Convert to fraction form
    32,466.20/48,696.06 = 9,092.84/x
  3. Step 3: Cross multiply
    32,466.20x = 48,696.06 × 9,092.84
  4. Step 4: Simplify right side
    32,466.20x = 442,785,482.21
  5. Step 5: Solve for x
    x = 442,785,482.21/32,466.20
  6. Step 6: Final answer
    x = 13,638.35

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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.