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Finding the Fourth Proportional to 74,144.16, 102,319.44 and 40,152.66

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Solution

The fourth proportional to 74,144.16, 102,319.44 and 40,152.66 is: 55,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,144.16 : 102,319.44 = 40,152.66 : x
  2. Step 2: Convert to fraction form
    74,144.16/102,319.44 = 40,152.66/x
  3. Step 3: Cross multiply
    74,144.16x = 102,319.44 × 40,152.66
  4. Step 4: Simplify right side
    74,144.16x = 4,108,397,685.71
  5. Step 5: Solve for x
    x = 4,108,397,685.71/74,144.16
  6. Step 6: Final answer
    x = 55,410.94

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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.