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Finding the Fourth Proportional to 42,877.31, 64,337.90 and 20,413.37

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Solution

The fourth proportional to 42,877.31, 64,337.90 and 20,413.37 is: 30,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,877.31 : 64,337.90 = 20,413.37 : x
  2. Step 2: Convert to fraction form
    42,877.31/64,337.90 = 20,413.37/x
  3. Step 3: Cross multiply
    42,877.31x = 64,337.90 × 20,413.37
  4. Step 4: Simplify right side
    42,877.31x = 1,313,353,416.50
  5. Step 5: Solve for x
    x = 1,313,353,416.50/42,877.31
  6. Step 6: Final answer
    x = 30,630.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.