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Finding the Fourth Proportional to 83,619.99, 115,417.71 and 51,770.79

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Solution

The fourth proportional to 83,619.99, 115,417.71 and 51,770.79 is: 71,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619.99 : 115,417.71 = 51,770.79 : x
  2. Step 2: Convert to fraction form
    83,619.99/115,417.71 = 51,770.79/x
  3. Step 3: Cross multiply
    83,619.99x = 115,417.71 × 51,770.79
  4. Step 4: Simplify right side
    83,619.99x = 5,975,266,026.69
  5. Step 5: Solve for x
    x = 5,975,266,026.69/83,619.99
  6. Step 6: Final answer
    x = 71,457.39

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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.