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Finding the Fourth Proportional to 30,216.74, 45,309.54 and 13,562.50

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Solution

The fourth proportional to 30,216.74, 45,309.54 and 13,562.50 is: 20,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216.74 : 45,309.54 = 13,562.50 : x
  2. Step 2: Convert to fraction form
    30,216.74/45,309.54 = 13,562.50/x
  3. Step 3: Cross multiply
    30,216.74x = 45,309.54 × 13,562.50
  4. Step 4: Simplify right side
    30,216.74x = 614,510,432.45
  5. Step 5: Solve for x
    x = 614,510,432.45/30,216.74
  6. Step 6: Final answer
    x = 20,336.76

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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.