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Finding the Fourth Proportional to 30,295, 45,442.50 and 10,568.26

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Solution

The fourth proportional to 30,295, 45,442.50 and 10,568.26 is: 15,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295 : 45,442.50 = 10,568.26 : x
  2. Step 2: Convert to fraction form
    30,295/45,442.50 = 10,568.26/x
  3. Step 3: Cross multiply
    30,295x = 45,442.50 × 10,568.26
  4. Step 4: Simplify right side
    30,295x = 480,248,155.05
  5. Step 5: Solve for x
    x = 480,248,155.05/30,295
  6. Step 6: Final answer
    x = 15,852.39

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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.