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Finding the Fourth Proportional to 32,641.80, 48,970.80 and 9,268.20

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Solution

The fourth proportional to 32,641.80, 48,970.80 and 9,268.20 is: 13,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.80 : 48,970.80 = 9,268.20 : x
  2. Step 2: Convert to fraction form
    32,641.80/48,970.80 = 9,268.20/x
  3. Step 3: Cross multiply
    32,641.80x = 48,970.80 × 9,268.20
  4. Step 4: Simplify right side
    32,641.80x = 453,871,168.56
  5. Step 5: Solve for x
    x = 453,871,168.56/32,641.80
  6. Step 6: Final answer
    x = 13,904.60

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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.