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Finding the Fourth Proportional to 56,345.50, 84,561.11 and 20,840.41

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Solution

The fourth proportional to 56,345.50, 84,561.11 and 20,840.41 is: 31,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,345.50 : 84,561.11 = 20,840.41 : x
  2. Step 2: Convert to fraction form
    56,345.50/84,561.11 = 20,840.41/x
  3. Step 3: Cross multiply
    56,345.50x = 84,561.11 × 20,840.41
  4. Step 4: Simplify right side
    56,345.50x = 1,762,288,282.11
  5. Step 5: Solve for x
    x = 1,762,288,282.11/56,345.50
  6. Step 6: Final answer
    x = 31,276.47

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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.