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Finding the Fourth Proportional to 65,924.94, 90,976.50 and 35,710.32

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Solution

The fourth proportional to 65,924.94, 90,976.50 and 35,710.32 is: 49,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924.94 : 90,976.50 = 35,710.32 : x
  2. Step 2: Convert to fraction form
    65,924.94/90,976.50 = 35,710.32/x
  3. Step 3: Cross multiply
    65,924.94x = 90,976.50 × 35,710.32
  4. Step 4: Simplify right side
    65,924.94x = 3,248,799,927.48
  5. Step 5: Solve for x
    x = 3,248,799,927.48/65,924.94
  6. Step 6: Final answer
    x = 49,280.29

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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.