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Finding the Fourth Proportional to 52,505.74, 78,669.51 and 31,685.50

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Solution

The fourth proportional to 52,505.74, 78,669.51 and 31,685.50 is: 47,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.74 : 78,669.51 = 31,685.50 : x
  2. Step 2: Convert to fraction form
    52,505.74/78,669.51 = 31,685.50/x
  3. Step 3: Cross multiply
    52,505.74x = 78,669.51 × 31,685.50
  4. Step 4: Simplify right side
    52,505.74x = 2,492,682,759.11
  5. Step 5: Solve for x
    x = 2,492,682,759.11/52,505.74
  6. Step 6: Final answer
    x = 47,474.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.