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Finding the Fourth Proportional to 50,033.64, 69,046.40 and 28,817

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Solution

The fourth proportional to 50,033.64, 69,046.40 and 28,817 is: 39,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,033.64 : 69,046.40 = 28,817 : x
  2. Step 2: Convert to fraction form
    50,033.64/69,046.40 = 28,817/x
  3. Step 3: Cross multiply
    50,033.64x = 69,046.40 × 28,817
  4. Step 4: Simplify right side
    50,033.64x = 1,989,710,108.80
  5. Step 5: Solve for x
    x = 1,989,710,108.80/50,033.64
  6. Step 6: Final answer
    x = 39,767.45

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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.