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Finding the Fourth Proportional to 116,940, 175,322.40 and 38,007.12

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Solution

The fourth proportional to 116,940, 175,322.40 and 38,007.12 is: 56,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,940 : 175,322.40 = 38,007.12 : x
  2. Step 2: Convert to fraction form
    116,940/175,322.40 = 38,007.12/x
  3. Step 3: Cross multiply
    116,940x = 175,322.40 × 38,007.12
  4. Step 4: Simplify right side
    116,940x = 6,663,499,495.49
  5. Step 5: Solve for x
    x = 6,663,499,495.49/116,940
  6. Step 6: Final answer
    x = 56,982.21

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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.