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Finding the Fourth Proportional to 69,848.64, 96,388.11 and 38,017.80

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Solution

The fourth proportional to 69,848.64, 96,388.11 and 38,017.80 is: 52,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,848.64 : 96,388.11 = 38,017.80 : x
  2. Step 2: Convert to fraction form
    69,848.64/96,388.11 = 38,017.80/x
  3. Step 3: Cross multiply
    69,848.64x = 96,388.11 × 38,017.80
  4. Step 4: Simplify right side
    69,848.64x = 3,664,463,888.36
  5. Step 5: Solve for x
    x = 3,664,463,888.36/69,848.64
  6. Step 6: Final answer
    x = 52,462.92

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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.