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Finding the Fourth Proportional to 36,554.64, 50,419.32 and 22,946.64

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Solution

The fourth proportional to 36,554.64, 50,419.32 and 22,946.64 is: 31,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554.64 : 50,419.32 = 22,946.64 : x
  2. Step 2: Convert to fraction form
    36,554.64/50,419.32 = 22,946.64/x
  3. Step 3: Cross multiply
    36,554.64x = 50,419.32 × 22,946.64
  4. Step 4: Simplify right side
    36,554.64x = 1,156,953,985.08
  5. Step 5: Solve for x
    x = 1,156,953,985.08/36,554.64
  6. Step 6: Final answer
    x = 31,649.99

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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.