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Finding the Fourth Proportional to 30,538.87, 46,016.35 and 25,113.74

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Solution

The fourth proportional to 30,538.87, 46,016.35 and 25,113.74 is: 37,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.87 : 46,016.35 = 25,113.74 : x
  2. Step 2: Convert to fraction form
    30,538.87/46,016.35 = 25,113.74/x
  3. Step 3: Cross multiply
    30,538.87x = 46,016.35 × 25,113.74
  4. Step 4: Simplify right side
    30,538.87x = 1,155,642,356.78
  5. Step 5: Solve for x
    x = 1,155,642,356.78/30,538.87
  6. Step 6: Final answer
    x = 37,841.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.