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Finding the Fourth Proportional to 88,742, 133,113 and 23,078

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Solution

The fourth proportional to 88,742, 133,113 and 23,078 is: 34,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,742 : 133,113 = 23,078 : x
  2. Step 2: Convert to fraction form
    88,742/133,113 = 23,078/x
  3. Step 3: Cross multiply
    88,742x = 133,113 × 23,078
  4. Step 4: Simplify right side
    88,742x = 3,071,981,814
  5. Step 5: Solve for x
    x = 3,071,981,814/88,742
  6. Step 6: Final answer
    x = 34,617

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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.