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Finding the Fourth Proportional to 32,069.70, 48,097.26 and 15,419.34

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Solution

The fourth proportional to 32,069.70, 48,097.26 and 15,419.34 is: 23,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.70 : 48,097.26 = 15,419.34 : x
  2. Step 2: Convert to fraction form
    32,069.70/48,097.26 = 15,419.34/x
  3. Step 3: Cross multiply
    32,069.70x = 48,097.26 × 15,419.34
  4. Step 4: Simplify right side
    32,069.70x = 741,628,005.01
  5. Step 5: Solve for x
    x = 741,628,005.01/32,069.70
  6. Step 6: Final answer
    x = 23,125.50

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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.