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Finding the Fourth Proportional to 105,114.52, 157,578.01 and 38,539.14

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Solution

The fourth proportional to 105,114.52, 157,578.01 and 38,539.14 is: 57,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.52 : 157,578.01 = 38,539.14 : x
  2. Step 2: Convert to fraction form
    105,114.52/157,578.01 = 38,539.14/x
  3. Step 3: Cross multiply
    105,114.52x = 157,578.01 × 38,539.14
  4. Step 4: Simplify right side
    105,114.52x = 6,072,920,988.31
  5. Step 5: Solve for x
    x = 6,072,920,988.31/105,114.52
  6. Step 6: Final answer
    x = 57,774.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.