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Finding the Fourth Proportional to 82,977.44, 124,479.84 and 30,460.64

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Solution

The fourth proportional to 82,977.44, 124,479.84 and 30,460.64 is: 45,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,977.44 : 124,479.84 = 30,460.64 : x
  2. Step 2: Convert to fraction form
    82,977.44/124,479.84 = 30,460.64/x
  3. Step 3: Cross multiply
    82,977.44x = 124,479.84 × 30,460.64
  4. Step 4: Simplify right side
    82,977.44x = 3,791,735,593.50
  5. Step 5: Solve for x
    x = 3,791,735,593.50/82,977.44
  6. Step 6: Final answer
    x = 45,695.98

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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.