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Finding the Fourth Proportional to 30,541.06, 45,822.93 and 9,766.18

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Solution

The fourth proportional to 30,541.06, 45,822.93 and 9,766.18 is: 14,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.06 : 45,822.93 = 9,766.18 : x
  2. Step 2: Convert to fraction form
    30,541.06/45,822.93 = 9,766.18/x
  3. Step 3: Cross multiply
    30,541.06x = 45,822.93 × 9,766.18
  4. Step 4: Simplify right side
    30,541.06x = 447,514,982.51
  5. Step 5: Solve for x
    x = 447,514,982.51/30,541.06
  6. Step 6: Final answer
    x = 14,652.90

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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.