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Finding the Fourth Proportional to 61,713.93, 85,165.29 and 34,856.49

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Solution

The fourth proportional to 61,713.93, 85,165.29 and 34,856.49 is: 48,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.93 : 85,165.29 = 34,856.49 : x
  2. Step 2: Convert to fraction form
    61,713.93/85,165.29 = 34,856.49/x
  3. Step 3: Cross multiply
    61,713.93x = 85,165.29 × 34,856.49
  4. Step 4: Simplify right side
    61,713.93x = 2,968,563,079.23
  5. Step 5: Solve for x
    x = 2,968,563,079.23/61,713.93
  6. Step 6: Final answer
    x = 48,101.99

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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.