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Finding the Fourth Proportional to 35,678.52, 49,237.02 and 19,763.46

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Solution

The fourth proportional to 35,678.52, 49,237.02 and 19,763.46 is: 27,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.52 : 49,237.02 = 19,763.46 : x
  2. Step 2: Convert to fraction form
    35,678.52/49,237.02 = 19,763.46/x
  3. Step 3: Cross multiply
    35,678.52x = 49,237.02 × 19,763.46
  4. Step 4: Simplify right side
    35,678.52x = 973,093,875.29
  5. Step 5: Solve for x
    x = 973,093,875.29/35,678.52
  6. Step 6: Final answer
    x = 27,273.94

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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.