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Finding the Fourth Proportional to 30,695.16, 46,005 and 15,895.62

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Solution

The fourth proportional to 30,695.16, 46,005 and 15,895.62 is: 23,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.16 : 46,005 = 15,895.62 : x
  2. Step 2: Convert to fraction form
    30,695.16/46,005 = 15,895.62/x
  3. Step 3: Cross multiply
    30,695.16x = 46,005 × 15,895.62
  4. Step 4: Simplify right side
    30,695.16x = 731,277,998.10
  5. Step 5: Solve for x
    x = 731,277,998.10/30,695.16
  6. Step 6: Final answer
    x = 23,823.89

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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.