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Finding the Fourth Proportional to 72,769.57, 100,421.85 and 40,938.50

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Solution

The fourth proportional to 72,769.57, 100,421.85 and 40,938.50 is: 56,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769.57 : 100,421.85 = 40,938.50 : x
  2. Step 2: Convert to fraction form
    72,769.57/100,421.85 = 40,938.50/x
  3. Step 3: Cross multiply
    72,769.57x = 100,421.85 × 40,938.50
  4. Step 4: Simplify right side
    72,769.57x = 4,111,119,906.23
  5. Step 5: Solve for x
    x = 4,111,119,906.23/72,769.57
  6. Step 6: Final answer
    x = 56,495.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.