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Finding the Fourth Proportional to 61,679.46, 85,113.51 and 34,823.10

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Solution

The fourth proportional to 61,679.46, 85,113.51 and 34,823.10 is: 48,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,679.46 : 85,113.51 = 34,823.10 : x
  2. Step 2: Convert to fraction form
    61,679.46/85,113.51 = 34,823.10/x
  3. Step 3: Cross multiply
    61,679.46x = 85,113.51 × 34,823.10
  4. Step 4: Simplify right side
    61,679.46x = 2,963,916,270.08
  5. Step 5: Solve for x
    x = 2,963,916,270.08/61,679.46
  6. Step 6: Final answer
    x = 48,053.54

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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.