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Finding the Fourth Proportional to 48,432.78, 66,837.84 and 29,312.31

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Solution

The fourth proportional to 48,432.78, 66,837.84 and 29,312.31 is: 40,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432.78 : 66,837.84 = 29,312.31 : x
  2. Step 2: Convert to fraction form
    48,432.78/66,837.84 = 29,312.31/x
  3. Step 3: Cross multiply
    48,432.78x = 66,837.84 × 29,312.31
  4. Step 4: Simplify right side
    48,432.78x = 1,959,171,485.81
  5. Step 5: Solve for x
    x = 1,959,171,485.81/48,432.78
  6. Step 6: Final answer
    x = 40,451.35

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Why These Related Problems?

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