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Finding the Fourth Proportional to 84,388, 116,470.02 and 50,854

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Solution

The fourth proportional to 84,388, 116,470.02 and 50,854 is: 70,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,388 : 116,470.02 = 50,854 : x
  2. Step 2: Convert to fraction form
    84,388/116,470.02 = 50,854/x
  3. Step 3: Cross multiply
    84,388x = 116,470.02 × 50,854
  4. Step 4: Simplify right side
    84,388x = 5,922,966,397.08
  5. Step 5: Solve for x
    x = 5,922,966,397.08/84,388
  6. Step 6: Final answer
    x = 70,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.