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Finding the Fourth Proportional to 52,102.71, 71,903.07 and 31,947.98

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Solution

The fourth proportional to 52,102.71, 71,903.07 and 31,947.98 is: 44,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.71 : 71,903.07 = 31,947.98 : x
  2. Step 2: Convert to fraction form
    52,102.71/71,903.07 = 31,947.98/x
  3. Step 3: Cross multiply
    52,102.71x = 71,903.07 × 31,947.98
  4. Step 4: Simplify right side
    52,102.71x = 2,297,157,482.78
  5. Step 5: Solve for x
    x = 2,297,157,482.78/52,102.71
  6. Step 6: Final answer
    x = 44,089.02

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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.