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Finding the Fourth Proportional to 53,196.57, 73,415.03 and 30,539.25

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Solution

The fourth proportional to 53,196.57, 73,415.03 and 30,539.25 is: 42,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196.57 : 73,415.03 = 30,539.25 : x
  2. Step 2: Convert to fraction form
    53,196.57/73,415.03 = 30,539.25/x
  3. Step 3: Cross multiply
    53,196.57x = 73,415.03 × 30,539.25
  4. Step 4: Simplify right side
    53,196.57x = 2,242,039,802.23
  5. Step 5: Solve for x
    x = 2,242,039,802.23/53,196.57
  6. Step 6: Final answer
    x = 42,146.32

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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.