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Finding the Fourth Proportional to 53,710.56, 74,119.68 and 31,049.28

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Solution

The fourth proportional to 53,710.56, 74,119.68 and 31,049.28 is: 42,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.56 : 74,119.68 = 31,049.28 : x
  2. Step 2: Convert to fraction form
    53,710.56/74,119.68 = 31,049.28/x
  3. Step 3: Cross multiply
    53,710.56x = 74,119.68 × 31,049.28
  4. Step 4: Simplify right side
    53,710.56x = 2,301,362,697.83
  5. Step 5: Solve for x
    x = 2,301,362,697.83/53,710.56
  6. Step 6: Final answer
    x = 42,847.49

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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.