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Finding the Fourth Proportional to 116,765.11, 175,159.01 and 31,374.91

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Solution

The fourth proportional to 116,765.11, 175,159.01 and 31,374.91 is: 47,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,765.11 : 175,159.01 = 31,374.91 : x
  2. Step 2: Convert to fraction form
    116,765.11/175,159.01 = 31,374.91/x
  3. Step 3: Cross multiply
    116,765.11x = 175,159.01 × 31,374.91
  4. Step 4: Simplify right side
    116,765.11x = 5,495,598,017.56
  5. Step 5: Solve for x
    x = 5,495,598,017.56/116,765.11
  6. Step 6: Final answer
    x = 47,065.41

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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.