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Finding the Fourth Proportional to 105,114.65, 157,578.21 and 38,539.26

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Solution

The fourth proportional to 105,114.65, 157,578.21 and 38,539.26 is: 57,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.65 : 157,578.21 = 38,539.26 : x
  2. Step 2: Convert to fraction form
    105,114.65/157,578.21 = 38,539.26/x
  3. Step 3: Cross multiply
    105,114.65x = 157,578.21 × 38,539.26
  4. Step 4: Simplify right side
    105,114.65x = 6,072,947,605.52
  5. Step 5: Solve for x
    x = 6,072,947,605.52/105,114.65
  6. Step 6: Final answer
    x = 57,774.51

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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.