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Finding the Fourth Proportional to 76,853.68, 106,053.24 and 42,867.16

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Solution

The fourth proportional to 76,853.68, 106,053.24 and 42,867.16 is: 59,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,853.68 : 106,053.24 = 42,867.16 : x
  2. Step 2: Convert to fraction form
    76,853.68/106,053.24 = 42,867.16/x
  3. Step 3: Cross multiply
    76,853.68x = 106,053.24 × 42,867.16
  4. Step 4: Simplify right side
    76,853.68x = 4,546,201,207.60
  5. Step 5: Solve for x
    x = 4,546,201,207.60/76,853.68
  6. Step 6: Final answer
    x = 59,153.98

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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.