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Finding the Fourth Proportional to 77,875.78, 107,469.71 and 46,047.64

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Solution

The fourth proportional to 77,875.78, 107,469.71 and 46,047.64 is: 63,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,875.78 : 107,469.71 = 46,047.64 : x
  2. Step 2: Convert to fraction form
    77,875.78/107,469.71 = 46,047.64/x
  3. Step 3: Cross multiply
    77,875.78x = 107,469.71 × 46,047.64
  4. Step 4: Simplify right side
    77,875.78x = 4,948,726,516.98
  5. Step 5: Solve for x
    x = 4,948,726,516.98/77,875.78
  6. Step 6: Final answer
    x = 63,546.41

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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.