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Finding the Fourth Proportional to 40,009.86, 55,214.19 and 23,242.86

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Solution

The fourth proportional to 40,009.86, 55,214.19 and 23,242.86 is: 32,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,009.86 : 55,214.19 = 23,242.86 : x
  2. Step 2: Convert to fraction form
    40,009.86/55,214.19 = 23,242.86/x
  3. Step 3: Cross multiply
    40,009.86x = 55,214.19 × 23,242.86
  4. Step 4: Simplify right side
    40,009.86x = 1,283,335,688.18
  5. Step 5: Solve for x
    x = 1,283,335,688.18/40,009.86
  6. Step 6: Final answer
    x = 32,075.49

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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.