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Finding the Fourth Proportional to 32,492.85, 48,742.52 and 11,711.49

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Solution

The fourth proportional to 32,492.85, 48,742.52 and 11,711.49 is: 17,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.85 : 48,742.52 = 11,711.49 : x
  2. Step 2: Convert to fraction form
    32,492.85/48,742.52 = 11,711.49/x
  3. Step 3: Cross multiply
    32,492.85x = 48,742.52 × 11,711.49
  4. Step 4: Simplify right side
    32,492.85x = 570,847,477.00
  5. Step 5: Solve for x
    x = 570,847,477.00/32,492.85
  6. Step 6: Final answer
    x = 17,568.40

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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.