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Finding the Fourth Proportional to 30,774.75, 46,166.58 and 9,707.64

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Solution

The fourth proportional to 30,774.75, 46,166.58 and 9,707.64 is: 14,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.75 : 46,166.58 = 9,707.64 : x
  2. Step 2: Convert to fraction form
    30,774.75/46,166.58 = 9,707.64/x
  3. Step 3: Cross multiply
    30,774.75x = 46,166.58 × 9,707.64
  4. Step 4: Simplify right side
    30,774.75x = 448,168,538.67
  5. Step 5: Solve for x
    x = 448,168,538.67/30,774.75
  6. Step 6: Final answer
    x = 14,562.87

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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.