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Finding the Fourth Proportional to 53,820.16, 74,227.52 and 47,774.82

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Solution

The fourth proportional to 53,820.16, 74,227.52 and 47,774.82 is: 65,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.16 : 74,227.52 = 47,774.82 : x
  2. Step 2: Convert to fraction form
    53,820.16/74,227.52 = 47,774.82/x
  3. Step 3: Cross multiply
    53,820.16x = 74,227.52 × 47,774.82
  4. Step 4: Simplify right side
    53,820.16x = 3,546,206,407.05
  5. Step 5: Solve for x
    x = 3,546,206,407.05/53,820.16
  6. Step 6: Final answer
    x = 65,889.93

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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.