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Finding the Fourth Proportional to 83,006.48, 114,573.48 and 57,864.08

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Solution

The fourth proportional to 83,006.48, 114,573.48 and 57,864.08 is: 79,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.48 : 114,573.48 = 57,864.08 : x
  2. Step 2: Convert to fraction form
    83,006.48/114,573.48 = 57,864.08/x
  3. Step 3: Cross multiply
    83,006.48x = 114,573.48 × 57,864.08
  4. Step 4: Simplify right side
    83,006.48x = 6,629,689,012.60
  5. Step 5: Solve for x
    x = 6,629,689,012.60/83,006.48
  6. Step 6: Final answer
    x = 79,869.54

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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.