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Finding the Fourth Proportional to 32,351.63, 48,527.16 and 8,978.07

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Solution

The fourth proportional to 32,351.63, 48,527.16 and 8,978.07 is: 13,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.63 : 48,527.16 = 8,978.07 : x
  2. Step 2: Convert to fraction form
    32,351.63/48,527.16 = 8,978.07/x
  3. Step 3: Cross multiply
    32,351.63x = 48,527.16 × 8,978.07
  4. Step 4: Simplify right side
    32,351.63x = 435,679,996.75
  5. Step 5: Solve for x
    x = 435,679,996.75/32,351.63
  6. Step 6: Final answer
    x = 13,467.02

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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.