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Finding the Fourth Proportional to 61,850, 92,652.12 and 30,589.84

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Solution

The fourth proportional to 61,850, 92,652.12 and 30,589.84 is: 45,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,850 : 92,652.12 = 30,589.84 : x
  2. Step 2: Convert to fraction form
    61,850/92,652.12 = 30,589.84/x
  3. Step 3: Cross multiply
    61,850x = 92,652.12 × 30,589.84
  4. Step 4: Simplify right side
    61,850x = 2,834,213,526.46
  5. Step 5: Solve for x
    x = 2,834,213,526.46/61,850
  6. Step 6: Final answer
    x = 45,823.99

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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.