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Finding the Fourth Proportional to 35,717.40, 49,233.09 and 28,152

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Solution

The fourth proportional to 35,717.40, 49,233.09 and 28,152 is: 38,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717.40 : 49,233.09 = 28,152 : x
  2. Step 2: Convert to fraction form
    35,717.40/49,233.09 = 28,152/x
  3. Step 3: Cross multiply
    35,717.40x = 49,233.09 × 28,152
  4. Step 4: Simplify right side
    35,717.40x = 1,386,009,949.68
  5. Step 5: Solve for x
    x = 1,386,009,949.68/35,717.40
  6. Step 6: Final answer
    x = 38,804.89

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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.