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Finding the Fourth Proportional to 35,011, 52,516.52 and 11,637.48

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Solution

The fourth proportional to 35,011, 52,516.52 and 11,637.48 is: 17,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,011 : 52,516.52 = 11,637.48 : x
  2. Step 2: Convert to fraction form
    35,011/52,516.52 = 11,637.48/x
  3. Step 3: Cross multiply
    35,011x = 52,516.52 × 11,637.48
  4. Step 4: Simplify right side
    35,011x = 611,159,951.17
  5. Step 5: Solve for x
    x = 611,159,951.17/35,011
  6. Step 6: Final answer
    x = 17,456.23

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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.