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Finding the Fourth Proportional to 56,578.61, 78,069.81 and 32,700.68

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Solution

The fourth proportional to 56,578.61, 78,069.81 and 32,700.68 is: 45,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578.61 : 78,069.81 = 32,700.68 : x
  2. Step 2: Convert to fraction form
    56,578.61/78,069.81 = 32,700.68/x
  3. Step 3: Cross multiply
    56,578.61x = 78,069.81 × 32,700.68
  4. Step 4: Simplify right side
    56,578.61x = 2,552,935,874.47
  5. Step 5: Solve for x
    x = 2,552,935,874.47/56,578.61
  6. Step 6: Final answer
    x = 45,121.93

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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.