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Finding the Fourth Proportional to 32,516.79, 48,775.20 and 9,143.22

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Solution

The fourth proportional to 32,516.79, 48,775.20 and 9,143.22 is: 13,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.79 : 48,775.20 = 9,143.22 : x
  2. Step 2: Convert to fraction form
    32,516.79/48,775.20 = 9,143.22/x
  3. Step 3: Cross multiply
    32,516.79x = 48,775.20 × 9,143.22
  4. Step 4: Simplify right side
    32,516.79x = 445,962,483.22
  5. Step 5: Solve for x
    x = 445,962,483.22/32,516.79
  6. Step 6: Final answer
    x = 13,714.84

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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.