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Finding the Fourth Proportional to 104,765.84, 144,580.56 and 59,444

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Solution

The fourth proportional to 104,765.84, 144,580.56 and 59,444 is: 82,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,765.84 : 144,580.56 = 59,444 : x
  2. Step 2: Convert to fraction form
    104,765.84/144,580.56 = 59,444/x
  3. Step 3: Cross multiply
    104,765.84x = 144,580.56 × 59,444
  4. Step 4: Simplify right side
    104,765.84x = 8,594,446,808.64
  5. Step 5: Solve for x
    x = 8,594,446,808.64/104,765.84
  6. Step 6: Final answer
    x = 82,034.82

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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.