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Finding the Fourth Proportional to 74,182.32, 102,370.50 and 40,189.86

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Solution

The fourth proportional to 74,182.32, 102,370.50 and 40,189.86 is: 55,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,182.32 : 102,370.50 = 40,189.86 : x
  2. Step 2: Convert to fraction form
    74,182.32/102,370.50 = 40,189.86/x
  3. Step 3: Cross multiply
    74,182.32x = 102,370.50 × 40,189.86
  4. Step 4: Simplify right side
    74,182.32x = 4,114,256,063.13
  5. Step 5: Solve for x
    x = 4,114,256,063.13/74,182.32
  6. Step 6: Final answer
    x = 55,461.41

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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.