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Finding the Fourth Proportional to 53,476.91, 73,765.77 and 34,350.17

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Solution

The fourth proportional to 53,476.91, 73,765.77 and 34,350.17 is: 47,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476.91 : 73,765.77 = 34,350.17 : x
  2. Step 2: Convert to fraction form
    53,476.91/73,765.77 = 34,350.17/x
  3. Step 3: Cross multiply
    53,476.91x = 73,765.77 × 34,350.17
  4. Step 4: Simplify right side
    53,476.91x = 2,533,866,739.68
  5. Step 5: Solve for x
    x = 2,533,866,739.68/53,476.91
  6. Step 6: Final answer
    x = 47,382.45

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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.