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Finding the Fourth Proportional to 57,776, 86,671.29 and 19,832.66

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Solution

The fourth proportional to 57,776, 86,671.29 and 19,832.66 is: 29,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776 : 86,671.29 = 19,832.66 : x
  2. Step 2: Convert to fraction form
    57,776/86,671.29 = 19,832.66/x
  3. Step 3: Cross multiply
    57,776x = 86,671.29 × 19,832.66
  4. Step 4: Simplify right side
    57,776x = 1,718,922,551.35
  5. Step 5: Solve for x
    x = 1,718,922,551.35/57,776
  6. Step 6: Final answer
    x = 29,751.50

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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.