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Finding the Fourth Proportional to 31,074.84, 46,570.74 and 11,334.84

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Solution

The fourth proportional to 31,074.84, 46,570.74 and 11,334.84 is: 16,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.84 : 46,570.74 = 11,334.84 : x
  2. Step 2: Convert to fraction form
    31,074.84/46,570.74 = 11,334.84/x
  3. Step 3: Cross multiply
    31,074.84x = 46,570.74 × 11,334.84
  4. Step 4: Simplify right side
    31,074.84x = 527,871,886.58
  5. Step 5: Solve for x
    x = 527,871,886.58/31,074.84
  6. Step 6: Final answer
    x = 16,987.12

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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.