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Finding the Fourth Proportional to 35,809.24, 53,709 and 10,508.08

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Solution

The fourth proportional to 35,809.24, 53,709 and 10,508.08 is: 15,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.24 : 53,709 = 10,508.08 : x
  2. Step 2: Convert to fraction form
    35,809.24/53,709 = 10,508.08/x
  3. Step 3: Cross multiply
    35,809.24x = 53,709 × 10,508.08
  4. Step 4: Simplify right side
    35,809.24x = 564,378,468.72
  5. Step 5: Solve for x
    x = 564,378,468.72/35,809.24
  6. Step 6: Final answer
    x = 15,760.69

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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.