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Finding the Fourth Proportional to 69,615.21, 96,069.09 and 37,784.10

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Solution

The fourth proportional to 69,615.21, 96,069.09 and 37,784.10 is: 52,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.21 : 96,069.09 = 37,784.10 : x
  2. Step 2: Convert to fraction form
    69,615.21/96,069.09 = 37,784.10/x
  3. Step 3: Cross multiply
    69,615.21x = 96,069.09 × 37,784.10
  4. Step 4: Simplify right side
    69,615.21x = 3,629,884,103.47
  5. Step 5: Solve for x
    x = 3,629,884,103.47/69,615.21
  6. Step 6: Final answer
    x = 52,142.11

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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.