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Finding the Fourth Proportional to 65,797.50, 90,802.74 and 35,989.50

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Solution

The fourth proportional to 65,797.50, 90,802.74 and 35,989.50 is: 49,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,797.50 : 90,802.74 = 35,989.50 : x
  2. Step 2: Convert to fraction form
    65,797.50/90,802.74 = 35,989.50/x
  3. Step 3: Cross multiply
    65,797.50x = 90,802.74 × 35,989.50
  4. Step 4: Simplify right side
    65,797.50x = 3,267,945,211.23
  5. Step 5: Solve for x
    x = 3,267,945,211.23/65,797.50
  6. Step 6: Final answer
    x = 49,666.71

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1.5x scale

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.