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Finding the Fourth Proportional to 32,578.29, 44,978.40 and 22,386.87

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Solution

The fourth proportional to 32,578.29, 44,978.40 and 22,386.87 is: 30,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.29 : 44,978.40 = 22,386.87 : x
  2. Step 2: Convert to fraction form
    32,578.29/44,978.40 = 22,386.87/x
  3. Step 3: Cross multiply
    32,578.29x = 44,978.40 × 22,386.87
  4. Step 4: Simplify right side
    32,578.29x = 1,006,925,593.61
  5. Step 5: Solve for x
    x = 1,006,925,593.61/32,578.29
  6. Step 6: Final answer
    x = 30,907.87

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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.