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Finding the Fourth Proportional to 59,644.49, 82,307.70 and 32,783.31

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Solution

The fourth proportional to 59,644.49, 82,307.70 and 32,783.31 is: 45,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,644.49 : 82,307.70 = 32,783.31 : x
  2. Step 2: Convert to fraction form
    59,644.49/82,307.70 = 32,783.31/x
  3. Step 3: Cross multiply
    59,644.49x = 82,307.70 × 32,783.31
  4. Step 4: Simplify right side
    59,644.49x = 2,698,318,844.49
  5. Step 5: Solve for x
    x = 2,698,318,844.49/59,644.49
  6. Step 6: Final answer
    x = 45,240.03

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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.