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Finding the Fourth Proportional to 61,578.24, 84,978.36 and 33,283.86

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Solution

The fourth proportional to 61,578.24, 84,978.36 and 33,283.86 is: 45,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,578.24 : 84,978.36 = 33,283.86 : x
  2. Step 2: Convert to fraction form
    61,578.24/84,978.36 = 33,283.86/x
  3. Step 3: Cross multiply
    61,578.24x = 84,978.36 × 33,283.86
  4. Step 4: Simplify right side
    61,578.24x = 2,828,407,837.27
  5. Step 5: Solve for x
    x = 2,828,407,837.27/61,578.24
  6. Step 6: Final answer
    x = 45,931.94

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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.