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Finding the Fourth Proportional to 92,303.68, 138,455.52 and 22,183

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Solution

The fourth proportional to 92,303.68, 138,455.52 and 22,183 is: 33,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,303.68 : 138,455.52 = 22,183 : x
  2. Step 2: Convert to fraction form
    92,303.68/138,455.52 = 22,183/x
  3. Step 3: Cross multiply
    92,303.68x = 138,455.52 × 22,183
  4. Step 4: Simplify right side
    92,303.68x = 3,071,358,800.16
  5. Step 5: Solve for x
    x = 3,071,358,800.16/92,303.68
  6. Step 6: Final answer
    x = 33,274.50

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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.