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Finding the Fourth Proportional to 55,828, 77,042.68 and 30,677.68

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Solution

The fourth proportional to 55,828, 77,042.68 and 30,677.68 is: 42,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,828 : 77,042.68 = 30,677.68 : x
  2. Step 2: Convert to fraction form
    55,828/77,042.68 = 30,677.68/x
  3. Step 3: Cross multiply
    55,828x = 77,042.68 × 30,677.68
  4. Step 4: Simplify right side
    55,828x = 2,363,490,683.38
  5. Step 5: Solve for x
    x = 2,363,490,683.38/55,828
  6. Step 6: Final answer
    x = 42,335.22

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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.