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Finding the Fourth Proportional to 32,029.36, 48,043 and 14,499.20

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Solution

The fourth proportional to 32,029.36, 48,043 and 14,499.20 is: 21,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.36 : 48,043 = 14,499.20 : x
  2. Step 2: Convert to fraction form
    32,029.36/48,043 = 14,499.20/x
  3. Step 3: Cross multiply
    32,029.36x = 48,043 × 14,499.20
  4. Step 4: Simplify right side
    32,029.36x = 696,585,065.60
  5. Step 5: Solve for x
    x = 696,585,065.60/32,029.36
  6. Step 6: Final answer
    x = 21,748.33

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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.