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Finding the Fourth Proportional to 56,643.30, 84,964.65 and 14,523.30

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Solution

The fourth proportional to 56,643.30, 84,964.65 and 14,523.30 is: 21,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.30 : 84,964.65 = 14,523.30 : x
  2. Step 2: Convert to fraction form
    56,643.30/84,964.65 = 14,523.30/x
  3. Step 3: Cross multiply
    56,643.30x = 84,964.65 × 14,523.30
  4. Step 4: Simplify right side
    56,643.30x = 1,233,967,101.35
  5. Step 5: Solve for x
    x = 1,233,967,101.35/56,643.30
  6. Step 6: Final answer
    x = 21,784.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.