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Finding the Fourth Proportional to 50,526.50, 69,727.05 and 27,866.40

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Solution

The fourth proportional to 50,526.50, 69,727.05 and 27,866.40 is: 38,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526.50 : 69,727.05 = 27,866.40 : x
  2. Step 2: Convert to fraction form
    50,526.50/69,727.05 = 27,866.40/x
  3. Step 3: Cross multiply
    50,526.50x = 69,727.05 × 27,866.40
  4. Step 4: Simplify right side
    50,526.50x = 1,943,041,866.12
  5. Step 5: Solve for x
    x = 1,943,041,866.12/50,526.50
  6. Step 6: Final answer
    x = 38,455.90

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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.