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Finding the Fourth Proportional to 77,009.70, 115,512.93 and 35,456.70

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Solution

The fourth proportional to 77,009.70, 115,512.93 and 35,456.70 is: 53,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,009.70 : 115,512.93 = 35,456.70 : x
  2. Step 2: Convert to fraction form
    77,009.70/115,512.93 = 35,456.70/x
  3. Step 3: Cross multiply
    77,009.70x = 115,512.93 × 35,456.70
  4. Step 4: Simplify right side
    77,009.70x = 4,095,707,305.13
  5. Step 5: Solve for x
    x = 4,095,707,305.13/77,009.70
  6. Step 6: Final answer
    x = 53,184.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.