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Finding the Fourth Proportional to 56,260, 77,648.52 and 33,904

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Solution

The fourth proportional to 56,260, 77,648.52 and 33,904 is: 46,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,260 : 77,648.52 = 33,904 : x
  2. Step 2: Convert to fraction form
    56,260/77,648.52 = 33,904/x
  3. Step 3: Cross multiply
    56,260x = 77,648.52 × 33,904
  4. Step 4: Simplify right side
    56,260x = 2,632,595,422.08
  5. Step 5: Solve for x
    x = 2,632,595,422.08/56,260
  6. Step 6: Final answer
    x = 46,793.38

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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.