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Finding the Fourth Proportional to 56,117.44, 84,224.48 and 22,856

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Solution

The fourth proportional to 56,117.44, 84,224.48 and 22,856 is: 34,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117.44 : 84,224.48 = 22,856 : x
  2. Step 2: Convert to fraction form
    56,117.44/84,224.48 = 22,856/x
  3. Step 3: Cross multiply
    56,117.44x = 84,224.48 × 22,856
  4. Step 4: Simplify right side
    56,117.44x = 1,925,034,714.88
  5. Step 5: Solve for x
    x = 1,925,034,714.88/56,117.44
  6. Step 6: Final answer
    x = 34,303.68

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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.