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Finding the Fourth Proportional to 77,543.82, 116,241.93 and 24,916.41

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Solution

The fourth proportional to 77,543.82, 116,241.93 and 24,916.41 is: 37,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,543.82 : 116,241.93 = 24,916.41 : x
  2. Step 2: Convert to fraction form
    77,543.82/116,241.93 = 24,916.41/x
  3. Step 3: Cross multiply
    77,543.82x = 116,241.93 × 24,916.41
  4. Step 4: Simplify right side
    77,543.82x = 2,896,331,587.07
  5. Step 5: Solve for x
    x = 2,896,331,587.07/77,543.82
  6. Step 6: Final answer
    x = 37,350.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.