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Finding the Fourth Proportional to 59,643.79, 82,308.53 and 32,786.47

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Solution

The fourth proportional to 59,643.79, 82,308.53 and 32,786.47 is: 45,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.79 : 82,308.53 = 32,786.47 : x
  2. Step 2: Convert to fraction form
    59,643.79/82,308.53 = 32,786.47/x
  3. Step 3: Cross multiply
    59,643.79x = 82,308.53 × 32,786.47
  4. Step 4: Simplify right side
    59,643.79x = 2,698,606,242.23
  5. Step 5: Solve for x
    x = 2,698,606,242.23/59,643.79
  6. Step 6: Final answer
    x = 45,245.38

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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.