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Finding the Fourth Proportional to 61,466.50, 84,823.50 and 34,609.06

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Solution

The fourth proportional to 61,466.50, 84,823.50 and 34,609.06 is: 47,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466.50 : 84,823.50 = 34,609.06 : x
  2. Step 2: Convert to fraction form
    61,466.50/84,823.50 = 34,609.06/x
  3. Step 3: Cross multiply
    61,466.50x = 84,823.50 × 34,609.06
  4. Step 4: Simplify right side
    61,466.50x = 2,935,661,600.91
  5. Step 5: Solve for x
    x = 2,935,661,600.91/61,466.50
  6. Step 6: Final answer
    x = 47,760.35

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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.