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Finding the Fourth Proportional to 30,329.86, 45,499.74 and 9,548.50

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Solution

The fourth proportional to 30,329.86, 45,499.74 and 9,548.50 is: 14,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.86 : 45,499.74 = 9,548.50 : x
  2. Step 2: Convert to fraction form
    30,329.86/45,499.74 = 9,548.50/x
  3. Step 3: Cross multiply
    30,329.86x = 45,499.74 × 9,548.50
  4. Step 4: Simplify right side
    30,329.86x = 434,454,267.39
  5. Step 5: Solve for x
    x = 434,454,267.39/30,329.86
  6. Step 6: Final answer
    x = 14,324.31

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1.5x scale

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.