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Finding the Fourth Proportional to 50,336, 69,463.68 and 27,984.32

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Solution

The fourth proportional to 50,336, 69,463.68 and 27,984.32 is: 38,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,336 : 69,463.68 = 27,984.32 : x
  2. Step 2: Convert to fraction form
    50,336/69,463.68 = 27,984.32/x
  3. Step 3: Cross multiply
    50,336x = 69,463.68 × 27,984.32
  4. Step 4: Simplify right side
    50,336x = 1,943,893,849.50
  5. Step 5: Solve for x
    x = 1,943,893,849.50/50,336
  6. Step 6: Final answer
    x = 38,618.36

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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.