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Finding the Fourth Proportional to 83,153.89, 114,749.80 and 47,349.01

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Solution

The fourth proportional to 83,153.89, 114,749.80 and 47,349.01 is: 65,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.89 : 114,749.80 = 47,349.01 : x
  2. Step 2: Convert to fraction form
    83,153.89/114,749.80 = 47,349.01/x
  3. Step 3: Cross multiply
    83,153.89x = 114,749.80 × 47,349.01
  4. Step 4: Simplify right side
    83,153.89x = 5,433,289,427.70
  5. Step 5: Solve for x
    x = 5,433,289,427.70/83,153.89
  6. Step 6: Final answer
    x = 65,340.17

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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.