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Finding the Fourth Proportional to 74,650.32, 102,971.16 and 44,415.20

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Solution

The fourth proportional to 74,650.32, 102,971.16 and 44,415.20 is: 61,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,650.32 : 102,971.16 = 44,415.20 : x
  2. Step 2: Convert to fraction form
    74,650.32/102,971.16 = 44,415.20/x
  3. Step 3: Cross multiply
    74,650.32x = 102,971.16 × 44,415.20
  4. Step 4: Simplify right side
    74,650.32x = 4,573,484,665.63
  5. Step 5: Solve for x
    x = 4,573,484,665.63/74,650.32
  6. Step 6: Final answer
    x = 61,265.44

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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.