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Finding the Fourth Proportional to 53,502.24, 73,839.36 and 31,146.24

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Solution

The fourth proportional to 53,502.24, 73,839.36 and 31,146.24 is: 42,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502.24 : 73,839.36 = 31,146.24 : x
  2. Step 2: Convert to fraction form
    53,502.24/73,839.36 = 31,146.24/x
  3. Step 3: Cross multiply
    53,502.24x = 73,839.36 × 31,146.24
  4. Step 4: Simplify right side
    53,502.24x = 2,299,818,428.01
  5. Step 5: Solve for x
    x = 2,299,818,428.01/53,502.24
  6. Step 6: Final answer
    x = 42,985.46

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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.