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Finding the Fourth Proportional to 61,670.16, 85,105.12 and 34,813.84

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Solution

The fourth proportional to 61,670.16, 85,105.12 and 34,813.84 is: 48,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,670.16 : 85,105.12 = 34,813.84 : x
  2. Step 2: Convert to fraction form
    61,670.16/85,105.12 = 34,813.84/x
  3. Step 3: Cross multiply
    61,670.16x = 85,105.12 × 34,813.84
  4. Step 4: Simplify right side
    61,670.16x = 2,962,836,030.86
  5. Step 5: Solve for x
    x = 2,962,836,030.86/61,670.16
  6. Step 6: Final answer
    x = 48,043.27

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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.