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Finding the Fourth Proportional to 82,934.52, 114,449.64 and 45,208.80

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Solution

The fourth proportional to 82,934.52, 114,449.64 and 45,208.80 is: 62,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.52 : 114,449.64 = 45,208.80 : x
  2. Step 2: Convert to fraction form
    82,934.52/114,449.64 = 45,208.80/x
  3. Step 3: Cross multiply
    82,934.52x = 114,449.64 × 45,208.80
  4. Step 4: Simplify right side
    82,934.52x = 5,174,130,884.83
  5. Step 5: Solve for x
    x = 5,174,130,884.83/82,934.52
  6. Step 6: Final answer
    x = 62,388.15

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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.