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Finding the Fourth Proportional to 46,253.92, 69,384 and 22,874.08

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Solution

The fourth proportional to 46,253.92, 69,384 and 22,874.08 is: 34,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,253.92 : 69,384 = 22,874.08 : x
  2. Step 2: Convert to fraction form
    46,253.92/69,384 = 22,874.08/x
  3. Step 3: Cross multiply
    46,253.92x = 69,384 × 22,874.08
  4. Step 4: Simplify right side
    46,253.92x = 1,587,095,166.72
  5. Step 5: Solve for x
    x = 1,587,095,166.72/46,253.92
  6. Step 6: Final answer
    x = 34,312.66

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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.