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Finding the Fourth Proportional to 56,162.38, 77,498.22 and 32,292.50

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Solution

The fourth proportional to 56,162.38, 77,498.22 and 32,292.50 is: 44,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,162.38 : 77,498.22 = 32,292.50 : x
  2. Step 2: Convert to fraction form
    56,162.38/77,498.22 = 32,292.50/x
  3. Step 3: Cross multiply
    56,162.38x = 77,498.22 × 32,292.50
  4. Step 4: Simplify right side
    56,162.38x = 2,502,611,269.35
  5. Step 5: Solve for x
    x = 2,502,611,269.35/56,162.38
  6. Step 6: Final answer
    x = 44,560.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.