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Finding the Fourth Proportional to 39,218, 58,761.48 and 24,390.32

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Solution

The fourth proportional to 39,218, 58,761.48 and 24,390.32 is: 36,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,218 : 58,761.48 = 24,390.32 : x
  2. Step 2: Convert to fraction form
    39,218/58,761.48 = 24,390.32/x
  3. Step 3: Cross multiply
    39,218x = 58,761.48 × 24,390.32
  4. Step 4: Simplify right side
    39,218x = 1,433,211,300.87
  5. Step 5: Solve for x
    x = 1,433,211,300.87/39,218
  6. Step 6: Final answer
    x = 36,544.73

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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.