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Finding the Fourth Proportional to 42,114.14, 58,110.90 and 24,205.80

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Solution

The fourth proportional to 42,114.14, 58,110.90 and 24,205.80 is: 33,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,114.14 : 58,110.90 = 24,205.80 : x
  2. Step 2: Convert to fraction form
    42,114.14/58,110.90 = 24,205.80/x
  3. Step 3: Cross multiply
    42,114.14x = 58,110.90 × 24,205.80
  4. Step 4: Simplify right side
    42,114.14x = 1,406,620,823.22
  5. Step 5: Solve for x
    x = 1,406,620,823.22/42,114.14
  6. Step 6: Final answer
    x = 33,400.21

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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.