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Finding the Fourth Proportional to 37,765.80, 56,607.12 and 15,567

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Solution

The fourth proportional to 37,765.80, 56,607.12 and 15,567 is: 23,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765.80 : 56,607.12 = 15,567 : x
  2. Step 2: Convert to fraction form
    37,765.80/56,607.12 = 15,567/x
  3. Step 3: Cross multiply
    37,765.80x = 56,607.12 × 15,567
  4. Step 4: Simplify right side
    37,765.80x = 881,203,037.04
  5. Step 5: Solve for x
    x = 881,203,037.04/37,765.80
  6. Step 6: Final answer
    x = 23,333.36

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Why These Related Problems?

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