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Finding the Fourth Proportional to 37,142.32, 51,254.16 and 22,036.40

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Solution

The fourth proportional to 37,142.32, 51,254.16 and 22,036.40 is: 30,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.32 : 51,254.16 = 22,036.40 : x
  2. Step 2: Convert to fraction form
    37,142.32/51,254.16 = 22,036.40/x
  3. Step 3: Cross multiply
    37,142.32x = 51,254.16 × 22,036.40
  4. Step 4: Simplify right side
    37,142.32x = 1,129,457,171.42
  5. Step 5: Solve for x
    x = 1,129,457,171.42/37,142.32
  6. Step 6: Final answer
    x = 30,408.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.