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Finding the Fourth Proportional to 57,008.32, 78,684.96 and 34,648

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Solution

The fourth proportional to 57,008.32, 78,684.96 and 34,648 is: 47,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008.32 : 78,684.96 = 34,648 : x
  2. Step 2: Convert to fraction form
    57,008.32/78,684.96 = 34,648/x
  3. Step 3: Cross multiply
    57,008.32x = 78,684.96 × 34,648
  4. Step 4: Simplify right side
    57,008.32x = 2,726,276,494.08
  5. Step 5: Solve for x
    x = 2,726,276,494.08/57,008.32
  6. Step 6: Final answer
    x = 47,822.43

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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.