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Finding the Fourth Proportional to 38,405.18, 57,815.24 and 34,543.00

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Solution

The fourth proportional to 38,405.18, 57,815.24 and 34,543.00 is: 52,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.18 : 57,815.24 = 34,543.00 : x
  2. Step 2: Convert to fraction form
    38,405.18/57,815.24 = 34,543.00/x
  3. Step 3: Cross multiply
    38,405.18x = 57,815.24 × 34,543.00
  4. Step 4: Simplify right side
    38,405.18x = 1,997,111,777.14
  5. Step 5: Solve for x
    x = 1,997,111,777.14/38,405.18
  6. Step 6: Final answer
    x = 52,001.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.