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Finding the Fourth Proportional to 73,577.70, 110,280.14 and 34,051.32

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Solution

The fourth proportional to 73,577.70, 110,280.14 and 34,051.32 is: 51,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,577.70 : 110,280.14 = 34,051.32 : x
  2. Step 2: Convert to fraction form
    73,577.70/110,280.14 = 34,051.32/x
  3. Step 3: Cross multiply
    73,577.70x = 110,280.14 × 34,051.32
  4. Step 4: Simplify right side
    73,577.70x = 3,755,184,336.78
  5. Step 5: Solve for x
    x = 3,755,184,336.78/73,577.70
  6. Step 6: Final answer
    x = 51,036.99

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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.