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Finding the Fourth Proportional to 35,606, 53,417.64 and 10,982

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Solution

The fourth proportional to 35,606, 53,417.64 and 10,982 is: 16,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606 : 53,417.64 = 10,982 : x
  2. Step 2: Convert to fraction form
    35,606/53,417.64 = 10,982/x
  3. Step 3: Cross multiply
    35,606x = 53,417.64 × 10,982
  4. Step 4: Simplify right side
    35,606x = 586,632,522.48
  5. Step 5: Solve for x
    x = 586,632,522.48/35,606
  6. Step 6: Final answer
    x = 16,475.66

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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.