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Finding the Fourth Proportional to 71,332.49, 106,998.47 and 21,412.37

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Solution

The fourth proportional to 71,332.49, 106,998.47 and 21,412.37 is: 32,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332.49 : 106,998.47 = 21,412.37 : x
  2. Step 2: Convert to fraction form
    71,332.49/106,998.47 = 21,412.37/x
  3. Step 3: Cross multiply
    71,332.49x = 106,998.47 × 21,412.37
  4. Step 4: Simplify right side
    71,332.49x = 2,291,090,294.08
  5. Step 5: Solve for x
    x = 2,291,090,294.08/71,332.49
  6. Step 6: Final answer
    x = 32,118.47

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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.