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Finding the Fourth Proportional to 53,641.89, 74,025.99 and 29,772

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Solution

The fourth proportional to 53,641.89, 74,025.99 and 29,772 is: 41,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641.89 : 74,025.99 = 29,772 : x
  2. Step 2: Convert to fraction form
    53,641.89/74,025.99 = 29,772/x
  3. Step 3: Cross multiply
    53,641.89x = 74,025.99 × 29,772
  4. Step 4: Simplify right side
    53,641.89x = 2,203,901,774.28
  5. Step 5: Solve for x
    x = 2,203,901,774.28/53,641.89
  6. Step 6: Final answer
    x = 41,085.46

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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.