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Finding the Fourth Proportional to 70,193.47, 96,866.75 and 38,362.36

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Solution

The fourth proportional to 70,193.47, 96,866.75 and 38,362.36 is: 52,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,193.47 : 96,866.75 = 38,362.36 : x
  2. Step 2: Convert to fraction form
    70,193.47/96,866.75 = 38,362.36/x
  3. Step 3: Cross multiply
    70,193.47x = 96,866.75 × 38,362.36
  4. Step 4: Simplify right side
    70,193.47x = 3,716,037,135.53
  5. Step 5: Solve for x
    x = 3,716,037,135.53/70,193.47
  6. Step 6: Final answer
    x = 52,939.93

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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.