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Finding the Fourth Proportional to 42,684.84, 64,010.85 and 29,497.23

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Solution

The fourth proportional to 42,684.84, 64,010.85 and 29,497.23 is: 44,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684.84 : 64,010.85 = 29,497.23 : x
  2. Step 2: Convert to fraction form
    42,684.84/64,010.85 = 29,497.23/x
  3. Step 3: Cross multiply
    42,684.84x = 64,010.85 × 29,497.23
  4. Step 4: Simplify right side
    42,684.84x = 1,888,142,764.95
  5. Step 5: Solve for x
    x = 1,888,142,764.95/42,684.84
  6. Step 6: Final answer
    x = 44,234.50

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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.