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Finding the Fourth Proportional to 32,971.48, 49,465.41 and 9,597.91

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Solution

The fourth proportional to 32,971.48, 49,465.41 and 9,597.91 is: 14,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.48 : 49,465.41 = 9,597.91 : x
  2. Step 2: Convert to fraction form
    32,971.48/49,465.41 = 9,597.91/x
  3. Step 3: Cross multiply
    32,971.48x = 49,465.41 × 9,597.91
  4. Step 4: Simplify right side
    32,971.48x = 474,764,553.29
  5. Step 5: Solve for x
    x = 474,764,553.29/32,971.48
  6. Step 6: Final answer
    x = 14,399.25

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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.