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Finding the Fourth Proportional to 61,670.25, 85,097.68 and 34,811.16

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Solution

The fourth proportional to 61,670.25, 85,097.68 and 34,811.16 is: 48,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,670.25 : 85,097.68 = 34,811.16 : x
  2. Step 2: Convert to fraction form
    61,670.25/85,097.68 = 34,811.16/x
  3. Step 3: Cross multiply
    61,670.25x = 85,097.68 × 34,811.16
  4. Step 4: Simplify right side
    61,670.25x = 2,962,348,954.11
  5. Step 5: Solve for x
    x = 2,962,348,954.11/61,670.25
  6. Step 6: Final answer
    x = 48,035.30

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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.