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Finding the Fourth Proportional to 61,785.84, 85,265.91 and 34,929.95

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Solution

The fourth proportional to 61,785.84, 85,265.91 and 34,929.95 is: 48,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785.84 : 85,265.91 = 34,929.95 : x
  2. Step 2: Convert to fraction form
    61,785.84/85,265.91 = 34,929.95/x
  3. Step 3: Cross multiply
    61,785.84x = 85,265.91 × 34,929.95
  4. Step 4: Simplify right side
    61,785.84x = 2,978,333,546.67
  5. Step 5: Solve for x
    x = 2,978,333,546.67/61,785.84
  6. Step 6: Final answer
    x = 48,204.14

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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.