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Finding the Fourth Proportional to 30,777.64, 46,169.80 and 9,718.25

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Solution

The fourth proportional to 30,777.64, 46,169.80 and 9,718.25 is: 14,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.64 : 46,169.80 = 9,718.25 : x
  2. Step 2: Convert to fraction form
    30,777.64/46,169.80 = 9,718.25/x
  3. Step 3: Cross multiply
    30,777.64x = 46,169.80 × 9,718.25
  4. Step 4: Simplify right side
    30,777.64x = 448,689,403.71
  5. Step 5: Solve for x
    x = 448,689,403.71/30,777.64
  6. Step 6: Final answer
    x = 14,578.42

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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.