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Finding the Fourth Proportional to 31,006.92, 46,543.14 and 19,328.16

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Solution

The fourth proportional to 31,006.92, 46,543.14 and 19,328.16 is: 29,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.92 : 46,543.14 = 19,328.16 : x
  2. Step 2: Convert to fraction form
    31,006.92/46,543.14 = 19,328.16/x
  3. Step 3: Cross multiply
    31,006.92x = 46,543.14 × 19,328.16
  4. Step 4: Simplify right side
    31,006.92x = 899,593,256.82
  5. Step 5: Solve for x
    x = 899,593,256.82/31,006.92
  6. Step 6: Final answer
    x = 29,012.66

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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.