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Finding the Fourth Proportional to 61,412.64, 84,743.40 and 34,554.48

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Solution

The fourth proportional to 61,412.64, 84,743.40 and 34,554.48 is: 47,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.64 : 84,743.40 = 34,554.48 : x
  2. Step 2: Convert to fraction form
    61,412.64/84,743.40 = 34,554.48/x
  3. Step 3: Cross multiply
    61,412.64x = 84,743.40 × 34,554.48
  4. Step 4: Simplify right side
    61,412.64x = 2,928,264,120.43
  5. Step 5: Solve for x
    x = 2,928,264,120.43/61,412.64
  6. Step 6: Final answer
    x = 47,681.78

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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.