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Finding the Fourth Proportional to 50,678.57, 69,942.51 and 29,457.84

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Solution

The fourth proportional to 50,678.57, 69,942.51 and 29,457.84 is: 40,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,678.57 : 69,942.51 = 29,457.84 : x
  2. Step 2: Convert to fraction form
    50,678.57/69,942.51 = 29,457.84/x
  3. Step 3: Cross multiply
    50,678.57x = 69,942.51 × 29,457.84
  4. Step 4: Simplify right side
    50,678.57x = 2,060,355,268.78
  5. Step 5: Solve for x
    x = 2,060,355,268.78/50,678.57
  6. Step 6: Final answer
    x = 40,655.36

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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.