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Finding the Fourth Proportional to 30,768.48, 46,152.72 and 9,708.59

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Solution

The fourth proportional to 30,768.48, 46,152.72 and 9,708.59 is: 14,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.48 : 46,152.72 = 9,708.59 : x
  2. Step 2: Convert to fraction form
    30,768.48/46,152.72 = 9,708.59/x
  3. Step 3: Cross multiply
    30,768.48x = 46,152.72 × 9,708.59
  4. Step 4: Simplify right side
    30,768.48x = 448,077,605.10
  5. Step 5: Solve for x
    x = 448,077,605.10/30,768.48
  6. Step 6: Final answer
    x = 14,562.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.