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Finding the Fourth Proportional to 107,576.32, 148,453.22 and 59,828.66

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Solution

The fourth proportional to 107,576.32, 148,453.22 and 59,828.66 is: 82,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,576.32 : 148,453.22 = 59,828.66 : x
  2. Step 2: Convert to fraction form
    107,576.32/148,453.22 = 59,828.66/x
  3. Step 3: Cross multiply
    107,576.32x = 148,453.22 × 59,828.66
  4. Step 4: Simplify right side
    107,576.32x = 8,881,757,225.29
  5. Step 5: Solve for x
    x = 8,881,757,225.29/107,576.32
  6. Step 6: Final answer
    x = 82,562.38

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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.