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Finding the Fourth Proportional to 56,643.20, 84,964.80 and 19,707.20

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Solution

The fourth proportional to 56,643.20, 84,964.80 and 19,707.20 is: 29,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.20 : 84,964.80 = 19,707.20 : x
  2. Step 2: Convert to fraction form
    56,643.20/84,964.80 = 19,707.20/x
  3. Step 3: Cross multiply
    56,643.20x = 84,964.80 × 19,707.20
  4. Step 4: Simplify right side
    56,643.20x = 1,674,418,306.56
  5. Step 5: Solve for x
    x = 1,674,418,306.56/56,643.20
  6. Step 6: Final answer
    x = 29,560.80

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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.