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Finding the Fourth Proportional to 83,044, 114,602.34 and 49,510

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Solution

The fourth proportional to 83,044, 114,602.34 and 49,510 is: 68,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044 : 114,602.34 = 49,510 : x
  2. Step 2: Convert to fraction form
    83,044/114,602.34 = 49,510/x
  3. Step 3: Cross multiply
    83,044x = 114,602.34 × 49,510
  4. Step 4: Simplify right side
    83,044x = 5,673,961,853.40
  5. Step 5: Solve for x
    x = 5,673,961,853.40/83,044
  6. Step 6: Final answer
    x = 68,324.77

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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.