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Finding the Fourth Proportional to 56,006.72, 77,289.28 and 30,856

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Solution

The fourth proportional to 56,006.72, 77,289.28 and 30,856 is: 42,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,006.72 : 77,289.28 = 30,856 : x
  2. Step 2: Convert to fraction form
    56,006.72/77,289.28 = 30,856/x
  3. Step 3: Cross multiply
    56,006.72x = 77,289.28 × 30,856
  4. Step 4: Simplify right side
    56,006.72x = 2,384,838,023.68
  5. Step 5: Solve for x
    x = 2,384,838,023.68/56,006.72
  6. Step 6: Final answer
    x = 42,581.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.