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Finding the Fourth Proportional to 83,209.36, 114,828.42 and 45,483.88

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Solution

The fourth proportional to 83,209.36, 114,828.42 and 45,483.88 is: 62,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.36 : 114,828.42 = 45,483.88 : x
  2. Step 2: Convert to fraction form
    83,209.36/114,828.42 = 45,483.88/x
  3. Step 3: Cross multiply
    83,209.36x = 114,828.42 × 45,483.88
  4. Step 4: Simplify right side
    83,209.36x = 5,222,842,075.87
  5. Step 5: Solve for x
    x = 5,222,842,075.87/83,209.36
  6. Step 6: Final answer
    x = 62,767.48

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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.