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Finding the Fourth Proportional to 82,023.84, 122,977.44 and 39,280.32

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Solution

The fourth proportional to 82,023.84, 122,977.44 and 39,280.32 is: 58,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.84 : 122,977.44 = 39,280.32 : x
  2. Step 2: Convert to fraction form
    82,023.84/122,977.44 = 39,280.32/x
  3. Step 3: Cross multiply
    82,023.84x = 122,977.44 × 39,280.32
  4. Step 4: Simplify right side
    82,023.84x = 4,830,593,195.98
  5. Step 5: Solve for x
    x = 4,830,593,195.98/82,023.84
  6. Step 6: Final answer
    x = 58,892.55

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1.5x scale

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.