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Finding the Fourth Proportional to 36,574.12, 50,472.02 and 19,807

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Solution

The fourth proportional to 36,574.12, 50,472.02 and 19,807 is: 27,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,574.12 : 50,472.02 = 19,807 : x
  2. Step 2: Convert to fraction form
    36,574.12/50,472.02 = 19,807/x
  3. Step 3: Cross multiply
    36,574.12x = 50,472.02 × 19,807
  4. Step 4: Simplify right side
    36,574.12x = 999,699,300.14
  5. Step 5: Solve for x
    x = 999,699,300.14/36,574.12
  6. Step 6: Final answer
    x = 27,333.52

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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.