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Finding the Fourth Proportional to 32,457.60, 48,682.80 and 9,086.40

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Solution

The fourth proportional to 32,457.60, 48,682.80 and 9,086.40 is: 13,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.60 : 48,682.80 = 9,086.40 : x
  2. Step 2: Convert to fraction form
    32,457.60/48,682.80 = 9,086.40/x
  3. Step 3: Cross multiply
    32,457.60x = 48,682.80 × 9,086.40
  4. Step 4: Simplify right side
    32,457.60x = 442,351,393.92
  5. Step 5: Solve for x
    x = 442,351,393.92/32,457.60
  6. Step 6: Final answer
    x = 13,628.59

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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.