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Finding the Fourth Proportional to 83,501.99, 115,232.58 and 45,776.51

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Solution

The fourth proportional to 83,501.99, 115,232.58 and 45,776.51 is: 63,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.99 : 115,232.58 = 45,776.51 : x
  2. Step 2: Convert to fraction form
    83,501.99/115,232.58 = 45,776.51/x
  3. Step 3: Cross multiply
    83,501.99x = 115,232.58 × 45,776.51
  4. Step 4: Simplify right side
    83,501.99x = 5,274,945,350.70
  5. Step 5: Solve for x
    x = 5,274,945,350.70/83,501.99
  6. Step 6: Final answer
    x = 63,171.49

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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.