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Finding the Fourth Proportional to 69,094.86, 103,103.42 and 61,648.14

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Solution

The fourth proportional to 69,094.86, 103,103.42 and 61,648.14 is: 91,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094.86 : 103,103.42 = 61,648.14 : x
  2. Step 2: Convert to fraction form
    69,094.86/103,103.42 = 61,648.14/x
  3. Step 3: Cross multiply
    69,094.86x = 103,103.42 × 61,648.14
  4. Step 4: Simplify right side
    69,094.86x = 6,356,133,762.40
  5. Step 5: Solve for x
    x = 6,356,133,762.40/69,094.86
  6. Step 6: Final answer
    x = 91,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.