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Finding the Fourth Proportional to 75,801.94, 113,654.30 and 31,459.30

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Solution

The fourth proportional to 75,801.94, 113,654.30 and 31,459.30 is: 47,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,801.94 : 113,654.30 = 31,459.30 : x
  2. Step 2: Convert to fraction form
    75,801.94/113,654.30 = 31,459.30/x
  3. Step 3: Cross multiply
    75,801.94x = 113,654.30 × 31,459.30
  4. Step 4: Simplify right side
    75,801.94x = 3,575,484,278.56
  5. Step 5: Solve for x
    x = 3,575,484,278.56/75,801.94
  6. Step 6: Final answer
    x = 47,168.77

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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.