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Finding the Fourth Proportional to 51,342.50, 70,851.01 and 29,834.05

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Solution

The fourth proportional to 51,342.50, 70,851.01 and 29,834.05 is: 41,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,342.50 : 70,851.01 = 29,834.05 : x
  2. Step 2: Convert to fraction form
    51,342.50/70,851.01 = 29,834.05/x
  3. Step 3: Cross multiply
    51,342.50x = 70,851.01 × 29,834.05
  4. Step 4: Simplify right side
    51,342.50x = 2,113,772,574.89
  5. Step 5: Solve for x
    x = 2,113,772,574.89/51,342.50
  6. Step 6: Final answer
    x = 41,170.04

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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.