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Finding the Fourth Proportional to 107,576.98, 148,454.12 and 59,829.30

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Solution

The fourth proportional to 107,576.98, 148,454.12 and 59,829.30 is: 82,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,576.98 : 148,454.12 = 59,829.30 : x
  2. Step 2: Convert to fraction form
    107,576.98/148,454.12 = 59,829.30/x
  3. Step 3: Cross multiply
    107,576.98x = 148,454.12 × 59,829.30
  4. Step 4: Simplify right side
    107,576.98x = 8,881,906,081.72
  5. Step 5: Solve for x
    x = 8,881,906,081.72/107,576.98
  6. Step 6: Final answer
    x = 82,563.26

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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.