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Finding the Fourth Proportional to 30,104.52, 45,184.50 and 15,324

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Solution

The fourth proportional to 30,104.52, 45,184.50 and 15,324 is: 23,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.52 : 45,184.50 = 15,324 : x
  2. Step 2: Convert to fraction form
    30,104.52/45,184.50 = 15,324/x
  3. Step 3: Cross multiply
    30,104.52x = 45,184.50 × 15,324
  4. Step 4: Simplify right side
    30,104.52x = 692,407,278
  5. Step 5: Solve for x
    x = 692,407,278/30,104.52
  6. Step 6: Final answer
    x = 23,000.11

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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.