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Finding the Fourth Proportional to 37,204.16, 56,062 and 30,774.38

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Solution

The fourth proportional to 37,204.16, 56,062 and 30,774.38 is: 46,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,204.16 : 56,062 = 30,774.38 : x
  2. Step 2: Convert to fraction form
    37,204.16/56,062 = 30,774.38/x
  3. Step 3: Cross multiply
    37,204.16x = 56,062 × 30,774.38
  4. Step 4: Simplify right side
    37,204.16x = 1,725,273,291.56
  5. Step 5: Solve for x
    x = 1,725,273,291.56/37,204.16
  6. Step 6: Final answer
    x = 46,373.13

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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.