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Finding the Fourth Proportional to 83,029.50, 114,580.10 and 47,219.47

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Solution

The fourth proportional to 83,029.50, 114,580.10 and 47,219.47 is: 65,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.50 : 114,580.10 = 47,219.47 : x
  2. Step 2: Convert to fraction form
    83,029.50/114,580.10 = 47,219.47/x
  3. Step 3: Cross multiply
    83,029.50x = 114,580.10 × 47,219.47
  4. Step 4: Simplify right side
    83,029.50x = 5,410,411,426.15
  5. Step 5: Solve for x
    x = 5,410,411,426.15/83,029.50
  6. Step 6: Final answer
    x = 65,162.52

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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.