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Finding the Fourth Proportional to 52,058.08, 78,119.23 and 20,462.59

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Solution

The fourth proportional to 52,058.08, 78,119.23 and 20,462.59 is: 30,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.08 : 78,119.23 = 20,462.59 : x
  2. Step 2: Convert to fraction form
    52,058.08/78,119.23 = 20,462.59/x
  3. Step 3: Cross multiply
    52,058.08x = 78,119.23 × 20,462.59
  4. Step 4: Simplify right side
    52,058.08x = 1,598,521,774.61
  5. Step 5: Solve for x
    x = 1,598,521,774.61/52,058.08
  6. Step 6: Final answer
    x = 30,706.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.