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Finding the Fourth Proportional to 49,477, 68,281.64 and 27,959.32

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Solution

The fourth proportional to 49,477, 68,281.64 and 27,959.32 is: 38,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477 : 68,281.64 = 27,959.32 : x
  2. Step 2: Convert to fraction form
    49,477/68,281.64 = 27,959.32/x
  3. Step 3: Cross multiply
    49,477x = 68,281.64 × 27,959.32
  4. Step 4: Simplify right side
    49,477x = 1,909,108,222.88
  5. Step 5: Solve for x
    x = 1,909,108,222.88/49,477
  6. Step 6: Final answer
    x = 38,585.77

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1.5x scale

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.