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Finding the Fourth Proportional to 35,705.50, 49,272.50 and 19,572.46

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Solution

The fourth proportional to 35,705.50, 49,272.50 and 19,572.46 is: 27,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.50 : 49,272.50 = 19,572.46 : x
  2. Step 2: Convert to fraction form
    35,705.50/49,272.50 = 19,572.46/x
  3. Step 3: Cross multiply
    35,705.50x = 49,272.50 × 19,572.46
  4. Step 4: Simplify right side
    35,705.50x = 964,384,035.35
  5. Step 5: Solve for x
    x = 964,384,035.35/35,705.50
  6. Step 6: Final answer
    x = 27,009.40

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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.