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Finding the Fourth Proportional to 34,497.64, 47,594.46 and 20,347.48

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Solution

The fourth proportional to 34,497.64, 47,594.46 and 20,347.48 is: 28,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497.64 : 47,594.46 = 20,347.48 : x
  2. Step 2: Convert to fraction form
    34,497.64/47,594.46 = 20,347.48/x
  3. Step 3: Cross multiply
    34,497.64x = 47,594.46 × 20,347.48
  4. Step 4: Simplify right side
    34,497.64x = 968,427,322.96
  5. Step 5: Solve for x
    x = 968,427,322.96/34,497.64
  6. Step 6: Final answer
    x = 28,072.28

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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.