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Finding the Fourth Proportional to 59,764.86, 89,629.47 and 20,313

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Solution

The fourth proportional to 59,764.86, 89,629.47 and 20,313 is: 30,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,764.86 : 89,629.47 = 20,313 : x
  2. Step 2: Convert to fraction form
    59,764.86/89,629.47 = 20,313/x
  3. Step 3: Cross multiply
    59,764.86x = 89,629.47 × 20,313
  4. Step 4: Simplify right side
    59,764.86x = 1,820,643,424.11
  5. Step 5: Solve for x
    x = 1,820,643,424.11/59,764.86
  6. Step 6: Final answer
    x = 30,463.44

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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.