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Finding the Fourth Proportional to 92,045.67, 137,847.06 and 52,482.84

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Solution

The fourth proportional to 92,045.67, 137,847.06 and 52,482.84 is: 78,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045.67 : 137,847.06 = 52,482.84 : x
  2. Step 2: Convert to fraction form
    92,045.67/137,847.06 = 52,482.84/x
  3. Step 3: Cross multiply
    92,045.67x = 137,847.06 × 52,482.84
  4. Step 4: Simplify right side
    92,045.67x = 7,234,604,874.33
  5. Step 5: Solve for x
    x = 7,234,604,874.33/92,045.67
  6. Step 6: Final answer
    x = 78,598.00

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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.