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Finding the Fourth Proportional to 56,214.81, 84,297.51 and 29,913.30

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Solution

The fourth proportional to 56,214.81, 84,297.51 and 29,913.30 is: 44,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214.81 : 84,297.51 = 29,913.30 : x
  2. Step 2: Convert to fraction form
    56,214.81/84,297.51 = 29,913.30/x
  3. Step 3: Cross multiply
    56,214.81x = 84,297.51 × 29,913.30
  4. Step 4: Simplify right side
    56,214.81x = 2,521,616,705.88
  5. Step 5: Solve for x
    x = 2,521,616,705.88/56,214.81
  6. Step 6: Final answer
    x = 44,856.80

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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.