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Finding the Fourth Proportional to 78,026.15, 107,675.33 and 42,215.38

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Solution

The fourth proportional to 78,026.15, 107,675.33 and 42,215.38 is: 58,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,026.15 : 107,675.33 = 42,215.38 : x
  2. Step 2: Convert to fraction form
    78,026.15/107,675.33 = 42,215.38/x
  3. Step 3: Cross multiply
    78,026.15x = 107,675.33 × 42,215.38
  4. Step 4: Simplify right side
    78,026.15x = 4,545,554,492.31
  5. Step 5: Solve for x
    x = 4,545,554,492.31/78,026.15
  6. Step 6: Final answer
    x = 58,256.81

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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.