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Finding the Fourth Proportional to 42,205.86, 58,243.95 and 24,294.33

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Solution

The fourth proportional to 42,205.86, 58,243.95 and 24,294.33 is: 33,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.86 : 58,243.95 = 24,294.33 : x
  2. Step 2: Convert to fraction form
    42,205.86/58,243.95 = 24,294.33/x
  3. Step 3: Cross multiply
    42,205.86x = 58,243.95 × 24,294.33
  4. Step 4: Simplify right side
    42,205.86x = 1,414,997,741.80
  5. Step 5: Solve for x
    x = 1,414,997,741.80/42,205.86
  6. Step 6: Final answer
    x = 33,526.10

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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.