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Finding the Fourth Proportional to 32,938.40, 49,407.60 and 24,190.40

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Solution

The fourth proportional to 32,938.40, 49,407.60 and 24,190.40 is: 36,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.40 : 49,407.60 = 24,190.40 : x
  2. Step 2: Convert to fraction form
    32,938.40/49,407.60 = 24,190.40/x
  3. Step 3: Cross multiply
    32,938.40x = 49,407.60 × 24,190.40
  4. Step 4: Simplify right side
    32,938.40x = 1,195,189,607.04
  5. Step 5: Solve for x
    x = 1,195,189,607.04/32,938.40
  6. Step 6: Final answer
    x = 36,285.60

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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.