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Finding the Fourth Proportional to 36,001.32, 53,997 and 9,707.64

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Solution

The fourth proportional to 36,001.32, 53,997 and 9,707.64 is: 14,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,001.32 : 53,997 = 9,707.64 : x
  2. Step 2: Convert to fraction form
    36,001.32/53,997 = 9,707.64/x
  3. Step 3: Cross multiply
    36,001.32x = 53,997 × 9,707.64
  4. Step 4: Simplify right side
    36,001.32x = 524,183,437.08
  5. Step 5: Solve for x
    x = 524,183,437.08/36,001.32
  6. Step 6: Final answer
    x = 14,560.12

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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.