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Finding the Fourth Proportional to 55,882.49, 77,117.40 and 30,388.86

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Solution

The fourth proportional to 55,882.49, 77,117.40 and 30,388.86 is: 41,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882.49 : 77,117.40 = 30,388.86 : x
  2. Step 2: Convert to fraction form
    55,882.49/77,117.40 = 30,388.86/x
  3. Step 3: Cross multiply
    55,882.49x = 77,117.40 × 30,388.86
  4. Step 4: Simplify right side
    55,882.49x = 2,343,509,872.16
  5. Step 5: Solve for x
    x = 2,343,509,872.16/55,882.49
  6. Step 6: Final answer
    x = 41,936.39

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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.