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Finding the Fourth Proportional to 96,006.82, 143,817.29 and 47,830.20

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Solution

The fourth proportional to 96,006.82, 143,817.29 and 47,830.20 is: 71,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,006.82 : 143,817.29 = 47,830.20 : x
  2. Step 2: Convert to fraction form
    96,006.82/143,817.29 = 47,830.20/x
  3. Step 3: Cross multiply
    96,006.82x = 143,817.29 × 47,830.20
  4. Step 4: Simplify right side
    96,006.82x = 6,878,810,156.04
  5. Step 5: Solve for x
    x = 6,878,810,156.04/96,006.82
  6. Step 6: Final answer
    x = 71,649.18

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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.