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Finding the Fourth Proportional to 42,906.38, 59,214.44 and 24,047.15

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Solution

The fourth proportional to 42,906.38, 59,214.44 and 24,047.15 is: 33,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906.38 : 59,214.44 = 24,047.15 : x
  2. Step 2: Convert to fraction form
    42,906.38/59,214.44 = 24,047.15/x
  3. Step 3: Cross multiply
    42,906.38x = 59,214.44 × 24,047.15
  4. Step 4: Simplify right side
    42,906.38x = 1,423,938,284.89
  5. Step 5: Solve for x
    x = 1,423,938,284.89/42,906.38
  6. Step 6: Final answer
    x = 33,187.10

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Why These Related Problems?

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