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Finding the Fourth Proportional to 30,857.27, 46,256.74 and 11,130.53

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Solution

The fourth proportional to 30,857.27, 46,256.74 and 11,130.53 is: 16,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.27 : 46,256.74 = 11,130.53 : x
  2. Step 2: Convert to fraction form
    30,857.27/46,256.74 = 11,130.53/x
  3. Step 3: Cross multiply
    30,857.27x = 46,256.74 × 11,130.53
  4. Step 4: Simplify right side
    30,857.27x = 514,862,032.27
  5. Step 5: Solve for x
    x = 514,862,032.27/30,857.27
  6. Step 6: Final answer
    x = 16,685.27

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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.