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Finding the Fourth Proportional to 78,026.59, 107,675.87 and 42,215.82

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Solution

The fourth proportional to 78,026.59, 107,675.87 and 42,215.82 is: 58,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,026.59 : 107,675.87 = 42,215.82 : x
  2. Step 2: Convert to fraction form
    78,026.59/107,675.87 = 42,215.82/x
  3. Step 3: Cross multiply
    78,026.59x = 107,675.87 × 42,215.82
  4. Step 4: Simplify right side
    78,026.59x = 4,545,624,531.40
  5. Step 5: Solve for x
    x = 4,545,624,531.40/78,026.59
  6. Step 6: Final answer
    x = 58,257.38

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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.