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Finding the Fourth Proportional to 70,178.95, 96,845.79 and 38,347.12

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Solution

The fourth proportional to 70,178.95, 96,845.79 and 38,347.12 is: 52,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178.95 : 96,845.79 = 38,347.12 : x
  2. Step 2: Convert to fraction form
    70,178.95/96,845.79 = 38,347.12/x
  3. Step 3: Cross multiply
    70,178.95x = 96,845.79 × 38,347.12
  4. Step 4: Simplify right side
    70,178.95x = 3,713,757,130.62
  5. Step 5: Solve for x
    x = 3,713,757,130.62/70,178.95
  6. Step 6: Final answer
    x = 52,918.39

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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.