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Finding the Fourth Proportional to 53,056.64, 73,228.56 and 30,410.81

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Solution

The fourth proportional to 53,056.64, 73,228.56 and 30,410.81 is: 41,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,056.64 : 73,228.56 = 30,410.81 : x
  2. Step 2: Convert to fraction form
    53,056.64/73,228.56 = 30,410.81/x
  3. Step 3: Cross multiply
    53,056.64x = 73,228.56 × 30,410.81
  4. Step 4: Simplify right side
    53,056.64x = 2,226,939,458.59
  5. Step 5: Solve for x
    x = 2,226,939,458.59/53,056.64
  6. Step 6: Final answer
    x = 41,972.87

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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.