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Finding the Fourth Proportional to 35,700.25, 53,553.07 and 12,007.87

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Solution

The fourth proportional to 35,700.25, 53,553.07 and 12,007.87 is: 18,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.25 : 53,553.07 = 12,007.87 : x
  2. Step 2: Convert to fraction form
    35,700.25/53,553.07 = 12,007.87/x
  3. Step 3: Cross multiply
    35,700.25x = 53,553.07 × 12,007.87
  4. Step 4: Simplify right side
    35,700.25x = 643,058,034.90
  5. Step 5: Solve for x
    x = 643,058,034.90/35,700.25
  6. Step 6: Final answer
    x = 18,012.70

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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.