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Finding the Fourth Proportional to 30,833.39, 46,248.45 and 8,648.30

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Solution

The fourth proportional to 30,833.39, 46,248.45 and 8,648.30 is: 12,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.39 : 46,248.45 = 8,648.30 : x
  2. Step 2: Convert to fraction form
    30,833.39/46,248.45 = 8,648.30/x
  3. Step 3: Cross multiply
    30,833.39x = 46,248.45 × 8,648.30
  4. Step 4: Simplify right side
    30,833.39x = 399,970,238.89
  5. Step 5: Solve for x
    x = 399,970,238.89/30,833.39
  6. Step 6: Final answer
    x = 12,971.99

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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.