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Finding the Fourth Proportional to 32,490, 48,735.24 and 7,866

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Solution

The fourth proportional to 32,490, 48,735.24 and 7,866 is: 11,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490 : 48,735.24 = 7,866 : x
  2. Step 2: Convert to fraction form
    32,490/48,735.24 = 7,866/x
  3. Step 3: Cross multiply
    32,490x = 48,735.24 × 7,866
  4. Step 4: Simplify right side
    32,490x = 383,351,397.84
  5. Step 5: Solve for x
    x = 383,351,397.84/32,490
  6. Step 6: Final answer
    x = 11,799.06

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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.