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Finding the Fourth Proportional to 83,262.51, 114,902.46 and 47,454.03

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Solution

The fourth proportional to 83,262.51, 114,902.46 and 47,454.03 is: 65,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.51 : 114,902.46 = 47,454.03 : x
  2. Step 2: Convert to fraction form
    83,262.51/114,902.46 = 47,454.03/x
  3. Step 3: Cross multiply
    83,262.51x = 114,902.46 × 47,454.03
  4. Step 4: Simplify right side
    83,262.51x = 5,452,584,783.91
  5. Step 5: Solve for x
    x = 5,452,584,783.91/83,262.51
  6. Step 6: Final answer
    x = 65,486.67

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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.