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Finding the Fourth Proportional to 51,416.64, 70,943.52 and 31,284

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Solution

The fourth proportional to 51,416.64, 70,943.52 and 31,284 is: 43,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416.64 : 70,943.52 = 31,284 : x
  2. Step 2: Convert to fraction form
    51,416.64/70,943.52 = 31,284/x
  3. Step 3: Cross multiply
    51,416.64x = 70,943.52 × 31,284
  4. Step 4: Simplify right side
    51,416.64x = 2,219,397,079.68
  5. Step 5: Solve for x
    x = 2,219,397,079.68/51,416.64
  6. Step 6: Final answer
    x = 43,164.96

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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.