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Finding the Fourth Proportional to 55,892.36, 77,130.78 and 30,741.32

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Solution

The fourth proportional to 55,892.36, 77,130.78 and 30,741.32 is: 42,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.36 : 77,130.78 = 30,741.32 : x
  2. Step 2: Convert to fraction form
    55,892.36/77,130.78 = 30,741.32/x
  3. Step 3: Cross multiply
    55,892.36x = 77,130.78 × 30,741.32
  4. Step 4: Simplify right side
    55,892.36x = 2,371,101,989.83
  5. Step 5: Solve for x
    x = 2,371,101,989.83/55,892.36
  6. Step 6: Final answer
    x = 42,422.65

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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.