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Finding the Fourth Proportional to 65,809.88, 98,627.32 and 37,738.52

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Solution

The fourth proportional to 65,809.88, 98,627.32 and 37,738.52 is: 56,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.88 : 98,627.32 = 37,738.52 : x
  2. Step 2: Convert to fraction form
    65,809.88/98,627.32 = 37,738.52/x
  3. Step 3: Cross multiply
    65,809.88x = 98,627.32 × 37,738.52
  4. Step 4: Simplify right side
    65,809.88x = 3,722,049,088.37
  5. Step 5: Solve for x
    x = 3,722,049,088.37/65,809.88
  6. Step 6: Final answer
    x = 56,557.60

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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.