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Finding the Fourth Proportional to 83,633.69, 115,415.35 and 45,393.57

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Solution

The fourth proportional to 83,633.69, 115,415.35 and 45,393.57 is: 62,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.69 : 115,415.35 = 45,393.57 : x
  2. Step 2: Convert to fraction form
    83,633.69/115,415.35 = 45,393.57/x
  3. Step 3: Cross multiply
    83,633.69x = 115,415.35 × 45,393.57
  4. Step 4: Simplify right side
    83,633.69x = 5,239,114,655.82
  5. Step 5: Solve for x
    x = 5,239,114,655.82/83,633.69
  6. Step 6: Final answer
    x = 62,643.59

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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.