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Finding the Fourth Proportional to 32,032.16, 48,052.83 and 9,847.40

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Solution

The fourth proportional to 32,032.16, 48,052.83 and 9,847.40 is: 14,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.16 : 48,052.83 = 9,847.40 : x
  2. Step 2: Convert to fraction form
    32,032.16/48,052.83 = 9,847.40/x
  3. Step 3: Cross multiply
    32,032.16x = 48,052.83 × 9,847.40
  4. Step 4: Simplify right side
    32,032.16x = 473,195,438.14
  5. Step 5: Solve for x
    x = 473,195,438.14/32,032.16
  6. Step 6: Final answer
    x = 14,772.51

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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.