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Finding the Fourth Proportional to 65,266.66, 97,852.10 and 20,867.86

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Solution

The fourth proportional to 65,266.66, 97,852.10 and 20,867.86 is: 31,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.66 : 97,852.10 = 20,867.86 : x
  2. Step 2: Convert to fraction form
    65,266.66/97,852.10 = 20,867.86/x
  3. Step 3: Cross multiply
    65,266.66x = 97,852.10 × 20,867.86
  4. Step 4: Simplify right side
    65,266.66x = 2,041,963,923.51
  5. Step 5: Solve for x
    x = 2,041,963,923.51/65,266.66
  6. Step 6: Final answer
    x = 31,286.48

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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.