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Finding the Fourth Proportional to 61,754.08, 85,219.50 and 34,896

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Solution

The fourth proportional to 61,754.08, 85,219.50 and 34,896 is: 48,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.08 : 85,219.50 = 34,896 : x
  2. Step 2: Convert to fraction form
    61,754.08/85,219.50 = 34,896/x
  3. Step 3: Cross multiply
    61,754.08x = 85,219.50 × 34,896
  4. Step 4: Simplify right side
    61,754.08x = 2,973,819,672
  5. Step 5: Solve for x
    x = 2,973,819,672/61,754.08
  6. Step 6: Final answer
    x = 48,155.84

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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.