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Finding the Fourth Proportional to 92,854.76, 139,284.77 and 22,734

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Solution

The fourth proportional to 92,854.76, 139,284.77 and 22,734 is: 34,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,854.76 : 139,284.77 = 22,734 : x
  2. Step 2: Convert to fraction form
    92,854.76/139,284.77 = 22,734/x
  3. Step 3: Cross multiply
    92,854.76x = 139,284.77 × 22,734
  4. Step 4: Simplify right side
    92,854.76x = 3,166,499,847.51
  5. Step 5: Solve for x
    x = 3,166,499,847.51/92,854.76
  6. Step 6: Final answer
    x = 34,101.64

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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.