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Finding the Fourth Proportional to 30,944.52, 46,415.34 and 7,569.72

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Solution

The fourth proportional to 30,944.52, 46,415.34 and 7,569.72 is: 11,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.52 : 46,415.34 = 7,569.72 : x
  2. Step 2: Convert to fraction form
    30,944.52/46,415.34 = 7,569.72/x
  3. Step 3: Cross multiply
    30,944.52x = 46,415.34 × 7,569.72
  4. Step 4: Simplify right side
    30,944.52x = 351,351,127.50
  5. Step 5: Solve for x
    x = 351,351,127.50/30,944.52
  6. Step 6: Final answer
    x = 11,354.23

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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.