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Finding the Fourth Proportional to 83,667.51, 115,461.23 and 45,427.01

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Solution

The fourth proportional to 83,667.51, 115,461.23 and 45,427.01 is: 62,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,667.51 : 115,461.23 = 45,427.01 : x
  2. Step 2: Convert to fraction form
    83,667.51/115,461.23 = 45,427.01/x
  3. Step 3: Cross multiply
    83,667.51x = 115,461.23 × 45,427.01
  4. Step 4: Simplify right side
    83,667.51x = 5,245,057,645.38
  5. Step 5: Solve for x
    x = 5,245,057,645.38/83,667.51
  6. Step 6: Final answer
    x = 62,689.30

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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.