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Finding the Fourth Proportional to 30,807.34, 46,216.69 and 9,752.67

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Solution

The fourth proportional to 30,807.34, 46,216.69 and 9,752.67 is: 14,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.34 : 46,216.69 = 9,752.67 : x
  2. Step 2: Convert to fraction form
    30,807.34/46,216.69 = 9,752.67/x
  3. Step 3: Cross multiply
    30,807.34x = 46,216.69 × 9,752.67
  4. Step 4: Simplify right side
    30,807.34x = 450,736,101.68
  5. Step 5: Solve for x
    x = 450,736,101.68/30,807.34
  6. Step 6: Final answer
    x = 14,630.80

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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.