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Finding the Fourth Proportional to 61,441.86, 84,772.80 and 34,582.80

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Solution

The fourth proportional to 61,441.86, 84,772.80 and 34,582.80 is: 47,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,441.86 : 84,772.80 = 34,582.80 : x
  2. Step 2: Convert to fraction form
    61,441.86/84,772.80 = 34,582.80/x
  3. Step 3: Cross multiply
    61,441.86x = 84,772.80 × 34,582.80
  4. Step 4: Simplify right side
    61,441.86x = 2,931,680,787.84
  5. Step 5: Solve for x
    x = 2,931,680,787.84/61,441.86
  6. Step 6: Final answer
    x = 47,714.71

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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.