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Finding the Fourth Proportional to 78,136.38, 107,828.24 and 42,326.28

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Solution

The fourth proportional to 78,136.38, 107,828.24 and 42,326.28 is: 58,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136.38 : 107,828.24 = 42,326.28 : x
  2. Step 2: Convert to fraction form
    78,136.38/107,828.24 = 42,326.28/x
  3. Step 3: Cross multiply
    78,136.38x = 107,828.24 × 42,326.28
  4. Step 4: Simplify right side
    78,136.38x = 4,563,968,066.52
  5. Step 5: Solve for x
    x = 4,563,968,066.52/78,136.38
  6. Step 6: Final answer
    x = 58,410.28

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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.