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Finding the Fourth Proportional to 77,454.36, 116,181.59 and 38,002.32

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Solution

The fourth proportional to 77,454.36, 116,181.59 and 38,002.32 is: 57,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,454.36 : 116,181.59 = 38,002.32 : x
  2. Step 2: Convert to fraction form
    77,454.36/116,181.59 = 38,002.32/x
  3. Step 3: Cross multiply
    77,454.36x = 116,181.59 × 38,002.32
  4. Step 4: Simplify right side
    77,454.36x = 4,415,169,771.28
  5. Step 5: Solve for x
    x = 4,415,169,771.28/77,454.36
  6. Step 6: Final answer
    x = 57,003.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.