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Finding the Fourth Proportional to 83,102.22, 114,681.24 and 45,376.38

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Solution

The fourth proportional to 83,102.22, 114,681.24 and 45,376.38 is: 62,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.22 : 114,681.24 = 45,376.38 : x
  2. Step 2: Convert to fraction form
    83,102.22/114,681.24 = 45,376.38/x
  3. Step 3: Cross multiply
    83,102.22x = 114,681.24 × 45,376.38
  4. Step 4: Simplify right side
    83,102.22x = 5,203,819,525.11
  5. Step 5: Solve for x
    x = 5,203,819,525.11/83,102.22
  6. Step 6: Final answer
    x = 62,619.50

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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.