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Finding the Fourth Proportional to 56,828.98, 85,225.02 and 26,838.58

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Solution

The fourth proportional to 56,828.98, 85,225.02 and 26,838.58 is: 40,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,828.98 : 85,225.02 = 26,838.58 : x
  2. Step 2: Convert to fraction form
    56,828.98/85,225.02 = 26,838.58/x
  3. Step 3: Cross multiply
    56,828.98x = 85,225.02 × 26,838.58
  4. Step 4: Simplify right side
    56,828.98x = 2,287,318,517.27
  5. Step 5: Solve for x
    x = 2,287,318,517.27/56,828.98
  6. Step 6: Final answer
    x = 40,249.16

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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.