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Finding the Fourth Proportional to 32,821.40, 49,232.10 and 9,128.90

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Solution

The fourth proportional to 32,821.40, 49,232.10 and 9,128.90 is: 13,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.40 : 49,232.10 = 9,128.90 : x
  2. Step 2: Convert to fraction form
    32,821.40/49,232.10 = 9,128.90/x
  3. Step 3: Cross multiply
    32,821.40x = 49,232.10 × 9,128.90
  4. Step 4: Simplify right side
    32,821.40x = 449,434,917.69
  5. Step 5: Solve for x
    x = 449,434,917.69/32,821.40
  6. Step 6: Final answer
    x = 13,693.35

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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.