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Finding the Fourth Proportional to 46,858.48, 70,287.74 and 13,578.58

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Solution

The fourth proportional to 46,858.48, 70,287.74 and 13,578.58 is: 20,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858.48 : 70,287.74 = 13,578.58 : x
  2. Step 2: Convert to fraction form
    46,858.48/70,287.74 = 13,578.58/x
  3. Step 3: Cross multiply
    46,858.48x = 70,287.74 × 13,578.58
  4. Step 4: Simplify right side
    46,858.48x = 954,407,700.61
  5. Step 5: Solve for x
    x = 954,407,700.61/46,858.48
  6. Step 6: Final answer
    x = 20,367.88

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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.