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Finding the Fourth Proportional to 61,347.84, 84,658.06 and 34,491.48

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Solution

The fourth proportional to 61,347.84, 84,658.06 and 34,491.48 is: 47,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,347.84 : 84,658.06 = 34,491.48 : x
  2. Step 2: Convert to fraction form
    61,347.84/84,658.06 = 34,491.48/x
  3. Step 3: Cross multiply
    61,347.84x = 84,658.06 × 34,491.48
  4. Step 4: Simplify right side
    61,347.84x = 2,919,981,783.33
  5. Step 5: Solve for x
    x = 2,919,981,783.33/61,347.84
  6. Step 6: Final answer
    x = 47,597.14

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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.