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Finding the Fourth Proportional to 53,497.94, 73,814.48 and 31,683.20

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Solution

The fourth proportional to 53,497.94, 73,814.48 and 31,683.20 is: 43,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,497.94 : 73,814.48 = 31,683.20 : x
  2. Step 2: Convert to fraction form
    53,497.94/73,814.48 = 31,683.20/x
  3. Step 3: Cross multiply
    53,497.94x = 73,814.48 × 31,683.20
  4. Step 4: Simplify right side
    53,497.94x = 2,338,678,405.25
  5. Step 5: Solve for x
    x = 2,338,678,405.25/53,497.94
  6. Step 6: Final answer
    x = 43,715.30

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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.