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Finding the Fourth Proportional to 50,678.16, 75,935.16 and 30,896.88

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Solution

The fourth proportional to 50,678.16, 75,935.16 and 30,896.88 is: 46,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.16 : 75,935.16 = 30,896.88 : x
  2. Step 2: Convert to fraction form
    50,678.16/75,935.16 = 30,896.88/x
  3. Step 3: Cross multiply
    50,678.16x = 75,935.16 × 30,896.88
  4. Step 4: Simplify right side
    50,678.16x = 2,346,159,526.30
  5. Step 5: Solve for x
    x = 2,346,159,526.30/50,678.16
  6. Step 6: Final answer
    x = 46,295.28

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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.