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Finding the Fourth Proportional to 32,475.60, 48,707.84 and 9,096.64

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Solution

The fourth proportional to 32,475.60, 48,707.84 and 9,096.64 is: 13,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.60 : 48,707.84 = 9,096.64 : x
  2. Step 2: Convert to fraction form
    32,475.60/48,707.84 = 9,096.64/x
  3. Step 3: Cross multiply
    32,475.60x = 48,707.84 × 9,096.64
  4. Step 4: Simplify right side
    32,475.60x = 443,077,685.66
  5. Step 5: Solve for x
    x = 443,077,685.66/32,475.60
  6. Step 6: Final answer
    x = 13,643.40

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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.