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Finding the Fourth Proportional to 83,188.26, 114,799.55 and 45,462.51

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Solution

The fourth proportional to 83,188.26, 114,799.55 and 45,462.51 is: 62,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.26 : 114,799.55 = 45,462.51 : x
  2. Step 2: Convert to fraction form
    83,188.26/114,799.55 = 45,462.51/x
  3. Step 3: Cross multiply
    83,188.26x = 114,799.55 × 45,462.51
  4. Step 4: Simplify right side
    83,188.26x = 5,219,075,462.56
  5. Step 5: Solve for x
    x = 5,219,075,462.56/83,188.26
  6. Step 6: Final answer
    x = 62,738.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.