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Finding the Fourth Proportional to 35,971.32, 53,952.89 and 9,678.12

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Solution

The fourth proportional to 35,971.32, 53,952.89 and 9,678.12 is: 14,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.32 : 53,952.89 = 9,678.12 : x
  2. Step 2: Convert to fraction form
    35,971.32/53,952.89 = 9,678.12/x
  3. Step 3: Cross multiply
    35,971.32x = 53,952.89 × 9,678.12
  4. Step 4: Simplify right side
    35,971.32x = 522,162,293.05
  5. Step 5: Solve for x
    x = 522,162,293.05/35,971.32
  6. Step 6: Final answer
    x = 14,516.07

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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.