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Finding the Fourth Proportional to 92,893.92, 139,340.40 and 22,773

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Solution

The fourth proportional to 92,893.92, 139,340.40 and 22,773 is: 34,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,893.92 : 139,340.40 = 22,773 : x
  2. Step 2: Convert to fraction form
    92,893.92/139,340.40 = 22,773/x
  3. Step 3: Cross multiply
    92,893.92x = 139,340.40 × 22,773
  4. Step 4: Simplify right side
    92,893.92x = 3,173,198,929.20
  5. Step 5: Solve for x
    x = 3,173,198,929.20/92,893.92
  6. Step 6: Final answer
    x = 34,159.38

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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.