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Finding the Fourth Proportional to 102,911.82, 142,024.95 and 57,593.94

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Solution

The fourth proportional to 102,911.82, 142,024.95 and 57,593.94 is: 79,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,911.82 : 142,024.95 = 57,593.94 : x
  2. Step 2: Convert to fraction form
    102,911.82/142,024.95 = 57,593.94/x
  3. Step 3: Cross multiply
    102,911.82x = 142,024.95 × 57,593.94
  4. Step 4: Simplify right side
    102,911.82x = 8,179,776,448.80
  5. Step 5: Solve for x
    x = 8,179,776,448.80/102,911.82
  6. Step 6: Final answer
    x = 79,483.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.