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Finding the Fourth Proportional to 56,840, 85,290.72 and 27,656

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Solution

The fourth proportional to 56,840, 85,290.72 and 27,656 is: 41,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,840 : 85,290.72 = 27,656 : x
  2. Step 2: Convert to fraction form
    56,840/85,290.72 = 27,656/x
  3. Step 3: Cross multiply
    56,840x = 85,290.72 × 27,656
  4. Step 4: Simplify right side
    56,840x = 2,358,800,152.32
  5. Step 5: Solve for x
    x = 2,358,800,152.32/56,840
  6. Step 6: Final answer
    x = 41,498.95

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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.