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Finding the Fourth Proportional to 78,386.88, 108,174.21 and 42,577.49

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Solution

The fourth proportional to 78,386.88, 108,174.21 and 42,577.49 is: 58,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386.88 : 108,174.21 = 42,577.49 : x
  2. Step 2: Convert to fraction form
    78,386.88/108,174.21 = 42,577.49/x
  3. Step 3: Cross multiply
    78,386.88x = 108,174.21 × 42,577.49
  4. Step 4: Simplify right side
    78,386.88x = 4,605,786,344.53
  5. Step 5: Solve for x
    x = 4,605,786,344.53/78,386.88
  6. Step 6: Final answer
    x = 58,757.11

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1.5x scale

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.