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Finding the Fourth Proportional to 83,343.36, 115,020.96 and 47,534.88

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Solution

The fourth proportional to 83,343.36, 115,020.96 and 47,534.88 is: 65,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343.36 : 115,020.96 = 47,534.88 : x
  2. Step 2: Convert to fraction form
    83,343.36/115,020.96 = 47,534.88/x
  3. Step 3: Cross multiply
    83,343.36x = 115,020.96 × 47,534.88
  4. Step 4: Simplify right side
    83,343.36x = 5,467,507,531.08
  5. Step 5: Solve for x
    x = 5,467,507,531.08/83,343.36
  6. Step 6: Final answer
    x = 65,602.20

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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.