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Finding the Fourth Proportional to 83,343.45, 114,985.36 and 47,507.61

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Solution

The fourth proportional to 83,343.45, 114,985.36 and 47,507.61 is: 65,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343.45 : 114,985.36 = 47,507.61 : x
  2. Step 2: Convert to fraction form
    83,343.45/114,985.36 = 47,507.61/x
  3. Step 3: Cross multiply
    83,343.45x = 114,985.36 × 47,507.61
  4. Step 4: Simplify right side
    83,343.45x = 5,462,679,638.59
  5. Step 5: Solve for x
    x = 5,462,679,638.59/83,343.45
  6. Step 6: Final answer
    x = 65,544.20

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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.