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Finding the Fourth Proportional to 61,575.78, 84,974.40 and 33,281.40

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Solution

The fourth proportional to 61,575.78, 84,974.40 and 33,281.40 is: 45,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,575.78 : 84,974.40 = 33,281.40 : x
  2. Step 2: Convert to fraction form
    61,575.78/84,974.40 = 33,281.40/x
  3. Step 3: Cross multiply
    61,575.78x = 84,974.40 × 33,281.40
  4. Step 4: Simplify right side
    61,575.78x = 2,828,066,996.16
  5. Step 5: Solve for x
    x = 2,828,066,996.16/61,575.78
  6. Step 6: Final answer
    x = 45,928.24

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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.