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Finding the Fourth Proportional to 85,014.10, 127,411.80 and 51,698.80

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Solution

The fourth proportional to 85,014.10, 127,411.80 and 51,698.80 is: 77,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,014.10 : 127,411.80 = 51,698.80 : x
  2. Step 2: Convert to fraction form
    85,014.10/127,411.80 = 51,698.80/x
  3. Step 3: Cross multiply
    85,014.10x = 127,411.80 × 51,698.80
  4. Step 4: Simplify right side
    85,014.10x = 6,587,037,165.84
  5. Step 5: Solve for x
    x = 6,587,037,165.84/85,014.10
  6. Step 6: Final answer
    x = 77,481.70

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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.