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Finding the Fourth Proportional to 52,056, 71,841.60 and 29,704.32

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Solution

The fourth proportional to 52,056, 71,841.60 and 29,704.32 is: 40,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056 : 71,841.60 = 29,704.32 : x
  2. Step 2: Convert to fraction form
    52,056/71,841.60 = 29,704.32/x
  3. Step 3: Cross multiply
    52,056x = 71,841.60 × 29,704.32
  4. Step 4: Simplify right side
    52,056x = 2,134,005,875.71
  5. Step 5: Solve for x
    x = 2,134,005,875.71/52,056
  6. Step 6: Final answer
    x = 40,994.43

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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.