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Finding the Fourth Proportional to 42,812.40, 64,218.69 and 23,100.24

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Solution

The fourth proportional to 42,812.40, 64,218.69 and 23,100.24 is: 34,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,812.40 : 64,218.69 = 23,100.24 : x
  2. Step 2: Convert to fraction form
    42,812.40/64,218.69 = 23,100.24/x
  3. Step 3: Cross multiply
    42,812.40x = 64,218.69 × 23,100.24
  4. Step 4: Simplify right side
    42,812.40x = 1,483,467,151.49
  5. Step 5: Solve for x
    x = 1,483,467,151.49/42,812.40
  6. Step 6: Final answer
    x = 34,650.41

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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.