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Finding the Fourth Proportional to 65,206.70, 97,810.77 and 20,833.10

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Solution

The fourth proportional to 65,206.70, 97,810.77 and 20,833.10 is: 31,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.70 : 97,810.77 = 20,833.10 : x
  2. Step 2: Convert to fraction form
    65,206.70/97,810.77 = 20,833.10/x
  3. Step 3: Cross multiply
    65,206.70x = 97,810.77 × 20,833.10
  4. Step 4: Simplify right side
    65,206.70x = 2,037,701,552.49
  5. Step 5: Solve for x
    x = 2,037,701,552.49/65,206.70
  6. Step 6: Final answer
    x = 31,249.88

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1.5x scale

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.