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Finding the Fourth Proportional to 92,045.10, 137,846.22 and 52,482.27

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Solution

The fourth proportional to 92,045.10, 137,846.22 and 52,482.27 is: 78,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045.10 : 137,846.22 = 52,482.27 : x
  2. Step 2: Convert to fraction form
    92,045.10/137,846.22 = 52,482.27/x
  3. Step 3: Cross multiply
    92,045.10x = 137,846.22 × 52,482.27
  4. Step 4: Simplify right side
    92,045.10x = 7,234,483,151.85
  5. Step 5: Solve for x
    x = 7,234,483,151.85/92,045.10
  6. Step 6: Final answer
    x = 78,597.15

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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.