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Finding the Fourth Proportional to 30,497.00, 45,662.42 and 23,719.05

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Solution

The fourth proportional to 30,497.00, 45,662.42 and 23,719.05 is: 35,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.00 : 45,662.42 = 23,719.05 : x
  2. Step 2: Convert to fraction form
    30,497.00/45,662.42 = 23,719.05/x
  3. Step 3: Cross multiply
    30,497.00x = 45,662.42 × 23,719.05
  4. Step 4: Simplify right side
    30,497.00x = 1,083,069,282.40
  5. Step 5: Solve for x
    x = 1,083,069,282.40/30,497.00
  6. Step 6: Final answer
    x = 35,513.97

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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.