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Finding the Fourth Proportional to 30,382.12, 45,574.80 and 9,604

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Solution

The fourth proportional to 30,382.12, 45,574.80 and 9,604 is: 14,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.12 : 45,574.80 = 9,604 : x
  2. Step 2: Convert to fraction form
    30,382.12/45,574.80 = 9,604/x
  3. Step 3: Cross multiply
    30,382.12x = 45,574.80 × 9,604
  4. Step 4: Simplify right side
    30,382.12x = 437,700,379.20
  5. Step 5: Solve for x
    x = 437,700,379.20/30,382.12
  6. Step 6: Final answer
    x = 14,406.51

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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.