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Finding the Fourth Proportional to 77,887.08, 107,484.20 and 42,077.08

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Solution

The fourth proportional to 77,887.08, 107,484.20 and 42,077.08 is: 58,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,887.08 : 107,484.20 = 42,077.08 : x
  2. Step 2: Convert to fraction form
    77,887.08/107,484.20 = 42,077.08/x
  3. Step 3: Cross multiply
    77,887.08x = 107,484.20 × 42,077.08
  4. Step 4: Simplify right side
    77,887.08x = 4,522,621,282.14
  5. Step 5: Solve for x
    x = 4,522,621,282.14/77,887.08
  6. Step 6: Final answer
    x = 58,066.39

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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.