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Finding the Fourth Proportional to 88,156.77, 132,242.64 and 24,977.17

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Solution

The fourth proportional to 88,156.77, 132,242.64 and 24,977.17 is: 37,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,156.77 : 132,242.64 = 24,977.17 : x
  2. Step 2: Convert to fraction form
    88,156.77/132,242.64 = 24,977.17/x
  3. Step 3: Cross multiply
    88,156.77x = 132,242.64 × 24,977.17
  4. Step 4: Simplify right side
    88,156.77x = 3,303,046,900.53
  5. Step 5: Solve for x
    x = 3,303,046,900.53/88,156.77
  6. Step 6: Final answer
    x = 37,467.88

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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.