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Finding the Fourth Proportional to 70,033.86, 96,644.88 and 38,203.38

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Solution

The fourth proportional to 70,033.86, 96,644.88 and 38,203.38 is: 52,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.86 : 96,644.88 = 38,203.38 : x
  2. Step 2: Convert to fraction form
    70,033.86/96,644.88 = 38,203.38/x
  3. Step 3: Cross multiply
    70,033.86x = 96,644.88 × 38,203.38
  4. Step 4: Simplify right side
    70,033.86x = 3,692,161,075.69
  5. Step 5: Solve for x
    x = 3,692,161,075.69/70,033.86
  6. Step 6: Final answer
    x = 52,719.66

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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.