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Finding the Fourth Proportional to 30,708.74, 46,002.63 and 28,548.74

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Solution

The fourth proportional to 30,708.74, 46,002.63 and 28,548.74 is: 42,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.74 : 46,002.63 = 28,548.74 : x
  2. Step 2: Convert to fraction form
    30,708.74/46,002.63 = 28,548.74/x
  3. Step 3: Cross multiply
    30,708.74x = 46,002.63 × 28,548.74
  4. Step 4: Simplify right side
    30,708.74x = 1,313,317,123.19
  5. Step 5: Solve for x
    x = 1,313,317,123.19/30,708.74
  6. Step 6: Final answer
    x = 42,766.88

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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.