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Finding the Fourth Proportional to 46,862.38, 70,205.29 and 23,142.16

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Solution

The fourth proportional to 46,862.38, 70,205.29 and 23,142.16 is: 34,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,862.38 : 70,205.29 = 23,142.16 : x
  2. Step 2: Convert to fraction form
    46,862.38/70,205.29 = 23,142.16/x
  3. Step 3: Cross multiply
    46,862.38x = 70,205.29 × 23,142.16
  4. Step 4: Simplify right side
    46,862.38x = 1,624,702,083.93
  5. Step 5: Solve for x
    x = 1,624,702,083.93/46,862.38
  6. Step 6: Final answer
    x = 34,669.64

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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.