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Finding the Fourth Proportional to 42,817.38, 64,235.82 and 23,095.50

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Solution

The fourth proportional to 42,817.38, 64,235.82 and 23,095.50 is: 34,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.38 : 64,235.82 = 23,095.50 : x
  2. Step 2: Convert to fraction form
    42,817.38/64,235.82 = 23,095.50/x
  3. Step 3: Cross multiply
    42,817.38x = 64,235.82 × 23,095.50
  4. Step 4: Simplify right side
    42,817.38x = 1,483,558,380.81
  5. Step 5: Solve for x
    x = 1,483,558,380.81/42,817.38
  6. Step 6: Final answer
    x = 34,648.51

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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.