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Finding the Fourth Proportional to 30,810.29, 46,218.68 and 9,753.23

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Solution

The fourth proportional to 30,810.29, 46,218.68 and 9,753.23 is: 14,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.29 : 46,218.68 = 9,753.23 : x
  2. Step 2: Convert to fraction form
    30,810.29/46,218.68 = 9,753.23/x
  3. Step 3: Cross multiply
    30,810.29x = 46,218.68 × 9,753.23
  4. Step 4: Simplify right side
    30,810.29x = 450,781,136.48
  5. Step 5: Solve for x
    x = 450,781,136.48/30,810.29
  6. Step 6: Final answer
    x = 14,630.87

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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.