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Finding the Fourth Proportional to 61,433.51, 84,769.03 and 34,574.42

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Solution

The fourth proportional to 61,433.51, 84,769.03 and 34,574.42 is: 47,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,433.51 : 84,769.03 = 34,574.42 : x
  2. Step 2: Convert to fraction form
    61,433.51/84,769.03 = 34,574.42/x
  3. Step 3: Cross multiply
    61,433.51x = 84,769.03 × 34,574.42
  4. Step 4: Simplify right side
    61,433.51x = 2,930,840,062.94
  5. Step 5: Solve for x
    x = 2,930,840,062.94/61,433.51
  6. Step 6: Final answer
    x = 47,707.51

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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.