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Finding the Fourth Proportional to 42,823.32, 64,231.74 and 13,241.34

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Solution

The fourth proportional to 42,823.32, 64,231.74 and 13,241.34 is: 19,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823.32 : 64,231.74 = 13,241.34 : x
  2. Step 2: Convert to fraction form
    42,823.32/64,231.74 = 13,241.34/x
  3. Step 3: Cross multiply
    42,823.32x = 64,231.74 × 13,241.34
  4. Step 4: Simplify right side
    42,823.32x = 850,514,308.13
  5. Step 5: Solve for x
    x = 850,514,308.13/42,823.32
  6. Step 6: Final answer
    x = 19,861.01

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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.