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Finding the Fourth Proportional to 42,205.86, 58,241.16 and 23,341.50

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Solution

The fourth proportional to 42,205.86, 58,241.16 and 23,341.50 is: 32,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.86 : 58,241.16 = 23,341.50 : x
  2. Step 2: Convert to fraction form
    42,205.86/58,241.16 = 23,341.50/x
  3. Step 3: Cross multiply
    42,205.86x = 58,241.16 × 23,341.50
  4. Step 4: Simplify right side
    42,205.86x = 1,359,436,036.14
  5. Step 5: Solve for x
    x = 1,359,436,036.14/42,205.86
  6. Step 6: Final answer
    x = 32,209.65

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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.