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Finding the Fourth Proportional to 53,881.48, 74,356.56 and 31,224.84

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Solution

The fourth proportional to 53,881.48, 74,356.56 and 31,224.84 is: 43,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.48 : 74,356.56 = 31,224.84 : x
  2. Step 2: Convert to fraction form
    53,881.48/74,356.56 = 31,224.84/x
  3. Step 3: Cross multiply
    53,881.48x = 74,356.56 × 31,224.84
  4. Step 4: Simplify right side
    53,881.48x = 2,321,771,740.55
  5. Step 5: Solve for x
    x = 2,321,771,740.55/53,881.48
  6. Step 6: Final answer
    x = 43,090.35

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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.