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Finding the Fourth Proportional to 50,490.88, 69,666.24 and 33,712

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Solution

The fourth proportional to 50,490.88, 69,666.24 and 33,712 is: 46,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.88 : 69,666.24 = 33,712 : x
  2. Step 2: Convert to fraction form
    50,490.88/69,666.24 = 33,712/x
  3. Step 3: Cross multiply
    50,490.88x = 69,666.24 × 33,712
  4. Step 4: Simplify right side
    50,490.88x = 2,348,588,282.88
  5. Step 5: Solve for x
    x = 2,348,588,282.88/50,490.88
  6. Step 6: Final answer
    x = 46,515.10

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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.