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Finding the Fourth Proportional to 76,238.64, 105,209.32 and 42,704.56

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Solution

The fourth proportional to 76,238.64, 105,209.32 and 42,704.56 is: 58,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.64 : 105,209.32 = 42,704.56 : x
  2. Step 2: Convert to fraction form
    76,238.64/105,209.32 = 42,704.56/x
  3. Step 3: Cross multiply
    76,238.64x = 105,209.32 × 42,704.56
  4. Step 4: Simplify right side
    76,238.64x = 4,492,917,718.50
  5. Step 5: Solve for x
    x = 4,492,917,718.50/76,238.64
  6. Step 6: Final answer
    x = 58,932.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.