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Finding the Fourth Proportional to 30,295.80, 45,443.70 and 15,499.80

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Solution

The fourth proportional to 30,295.80, 45,443.70 and 15,499.80 is: 23,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.80 : 45,443.70 = 15,499.80 : x
  2. Step 2: Convert to fraction form
    30,295.80/45,443.70 = 15,499.80/x
  3. Step 3: Cross multiply
    30,295.80x = 45,443.70 × 15,499.80
  4. Step 4: Simplify right side
    30,295.80x = 704,368,261.26
  5. Step 5: Solve for x
    x = 704,368,261.26/30,295.80
  6. Step 6: Final answer
    x = 23,249.70

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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.