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Finding the Fourth Proportional to 61,598.56, 85,027.86 and 36,448

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Solution

The fourth proportional to 61,598.56, 85,027.86 and 36,448 is: 50,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598.56 : 85,027.86 = 36,448 : x
  2. Step 2: Convert to fraction form
    61,598.56/85,027.86 = 36,448/x
  3. Step 3: Cross multiply
    61,598.56x = 85,027.86 × 36,448
  4. Step 4: Simplify right side
    61,598.56x = 3,099,095,441.28
  5. Step 5: Solve for x
    x = 3,099,095,441.28/61,598.56
  6. Step 6: Final answer
    x = 50,311.17

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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.