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Finding the Fourth Proportional to 32,563.98, 48,851.82 and 11,516.22

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Solution

The fourth proportional to 32,563.98, 48,851.82 and 11,516.22 is: 17,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.98 : 48,851.82 = 11,516.22 : x
  2. Step 2: Convert to fraction form
    32,563.98/48,851.82 = 11,516.22/x
  3. Step 3: Cross multiply
    32,563.98x = 48,851.82 × 11,516.22
  4. Step 4: Simplify right side
    32,563.98x = 562,588,306.52
  5. Step 5: Solve for x
    x = 562,588,306.52/32,563.98
  6. Step 6: Final answer
    x = 17,276.40

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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.