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Finding the Fourth Proportional to 30,496.42, 45,773.52 and 15,715.54

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Solution

The fourth proportional to 30,496.42, 45,773.52 and 15,715.54 is: 23,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.42 : 45,773.52 = 15,715.54 : x
  2. Step 2: Convert to fraction form
    30,496.42/45,773.52 = 15,715.54/x
  3. Step 3: Cross multiply
    30,496.42x = 45,773.52 × 15,715.54
  4. Step 4: Simplify right side
    30,496.42x = 719,355,584.50
  5. Step 5: Solve for x
    x = 719,355,584.50/30,496.42
  6. Step 6: Final answer
    x = 23,588.20

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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.