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Finding the Fourth Proportional to 75,927.62, 114,008.47 and 64,235.03

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Solution

The fourth proportional to 75,927.62, 114,008.47 and 64,235.03 is: 96,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927.62 : 114,008.47 = 64,235.03 : x
  2. Step 2: Convert to fraction form
    75,927.62/114,008.47 = 64,235.03/x
  3. Step 3: Cross multiply
    75,927.62x = 114,008.47 × 64,235.03
  4. Step 4: Simplify right side
    75,927.62x = 7,323,336,920.66
  5. Step 5: Solve for x
    x = 7,323,336,920.66/75,927.62
  6. Step 6: Final answer
    x = 96,451.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.