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Finding the Fourth Proportional to 32,337.12, 48,505.80 and 9,848

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Solution

The fourth proportional to 32,337.12, 48,505.80 and 9,848 is: 14,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.12 : 48,505.80 = 9,848 : x
  2. Step 2: Convert to fraction form
    32,337.12/48,505.80 = 9,848/x
  3. Step 3: Cross multiply
    32,337.12x = 48,505.80 × 9,848
  4. Step 4: Simplify right side
    32,337.12x = 477,685,118.40
  5. Step 5: Solve for x
    x = 477,685,118.40/32,337.12
  6. Step 6: Final answer
    x = 14,772.04

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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.