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Finding the Fourth Proportional to 35,224.92, 52,809.75 and 17,461.76

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Solution

The fourth proportional to 35,224.92, 52,809.75 and 17,461.76 is: 26,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.92 : 52,809.75 = 17,461.76 : x
  2. Step 2: Convert to fraction form
    35,224.92/52,809.75 = 17,461.76/x
  3. Step 3: Cross multiply
    35,224.92x = 52,809.75 × 17,461.76
  4. Step 4: Simplify right side
    35,224.92x = 922,150,916.11
  5. Step 5: Solve for x
    x = 922,150,916.11/35,224.92
  6. Step 6: Final answer
    x = 26,178.94

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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.