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Finding the Fourth Proportional to 53,715.96, 74,129.96 and 31,062.06

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Solution

The fourth proportional to 53,715.96, 74,129.96 and 31,062.06 is: 42,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,715.96 : 74,129.96 = 31,062.06 : x
  2. Step 2: Convert to fraction form
    53,715.96/74,129.96 = 31,062.06/x
  3. Step 3: Cross multiply
    53,715.96x = 74,129.96 × 31,062.06
  4. Step 4: Simplify right side
    53,715.96x = 2,302,629,265.32
  5. Step 5: Solve for x
    x = 2,302,629,265.32/53,715.96
  6. Step 6: Final answer
    x = 42,866.76

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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.