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Finding the Fourth Proportional to 52,415.69, 78,243.53 and 48,513.26

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Solution

The fourth proportional to 52,415.69, 78,243.53 and 48,513.26 is: 72,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415.69 : 78,243.53 = 48,513.26 : x
  2. Step 2: Convert to fraction form
    52,415.69/78,243.53 = 48,513.26/x
  3. Step 3: Cross multiply
    52,415.69x = 78,243.53 × 48,513.26
  4. Step 4: Simplify right side
    52,415.69x = 3,795,848,080.42
  5. Step 5: Solve for x
    x = 3,795,848,080.42/52,415.69
  6. Step 6: Final answer
    x = 72,418.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.