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Finding the Fourth Proportional to 51,417.64, 70,944.90 and 31,285

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Solution

The fourth proportional to 51,417.64, 70,944.90 and 31,285 is: 43,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,417.64 : 70,944.90 = 31,285 : x
  2. Step 2: Convert to fraction form
    51,417.64/70,944.90 = 31,285/x
  3. Step 3: Cross multiply
    51,417.64x = 70,944.90 × 31,285
  4. Step 4: Simplify right side
    51,417.64x = 2,219,511,196.50
  5. Step 5: Solve for x
    x = 2,219,511,196.50/51,417.64
  6. Step 6: Final answer
    x = 43,166.34

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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.