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Finding the Fourth Proportional to 83,073.61, 114,569.22 and 50,783.77

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Solution

The fourth proportional to 83,073.61, 114,569.22 and 50,783.77 is: 70,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.61 : 114,569.22 = 50,783.77 : x
  2. Step 2: Convert to fraction form
    83,073.61/114,569.22 = 50,783.77/x
  3. Step 3: Cross multiply
    83,073.61x = 114,569.22 × 50,783.77
  4. Step 4: Simplify right side
    83,073.61x = 5,818,256,917.56
  5. Step 5: Solve for x
    x = 5,818,256,917.56/83,073.61
  6. Step 6: Final answer
    x = 70,037.37

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1.5x scale

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.