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Finding the Fourth Proportional to 78,576.67, 108,438.47 and 42,767.98

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Solution

The fourth proportional to 78,576.67, 108,438.47 and 42,767.98 is: 59,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.67 : 108,438.47 = 42,767.98 : x
  2. Step 2: Convert to fraction form
    78,576.67/108,438.47 = 42,767.98/x
  3. Step 3: Cross multiply
    78,576.67x = 108,438.47 × 42,767.98
  4. Step 4: Simplify right side
    78,576.67x = 4,637,694,316.19
  5. Step 5: Solve for x
    x = 4,637,694,316.19/78,576.67
  6. Step 6: Final answer
    x = 59,021.26

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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.