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Finding the Fourth Proportional to 56,633, 84,950.22 and 19,697

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Solution

The fourth proportional to 56,633, 84,950.22 and 19,697 is: 29,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,633 : 84,950.22 = 19,697 : x
  2. Step 2: Convert to fraction form
    56,633/84,950.22 = 19,697/x
  3. Step 3: Cross multiply
    56,633x = 84,950.22 × 19,697
  4. Step 4: Simplify right side
    56,633x = 1,673,264,483.34
  5. Step 5: Solve for x
    x = 1,673,264,483.34/56,633
  6. Step 6: Final answer
    x = 29,545.75

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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.