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Finding the Fourth Proportional to 32,081.70, 48,090.15 and 14,564.10

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Solution

The fourth proportional to 32,081.70, 48,090.15 and 14,564.10 is: 21,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.70 : 48,090.15 = 14,564.10 : x
  2. Step 2: Convert to fraction form
    32,081.70/48,090.15 = 14,564.10/x
  3. Step 3: Cross multiply
    32,081.70x = 48,090.15 × 14,564.10
  4. Step 4: Simplify right side
    32,081.70x = 700,389,753.62
  5. Step 5: Solve for x
    x = 700,389,753.62/32,081.70
  6. Step 6: Final answer
    x = 21,831.44

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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.