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Finding the Fourth Proportional to 52,058.71, 78,028.80 and 22,054.24

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Solution

The fourth proportional to 52,058.71, 78,028.80 and 22,054.24 is: 33,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.71 : 78,028.80 = 22,054.24 : x
  2. Step 2: Convert to fraction form
    52,058.71/78,028.80 = 22,054.24/x
  3. Step 3: Cross multiply
    52,058.71x = 78,028.80 × 22,054.24
  4. Step 4: Simplify right side
    52,058.71x = 1,720,865,882.11
  5. Step 5: Solve for x
    x = 1,720,865,882.11/52,058.71
  6. Step 6: Final answer
    x = 33,056.25

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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.