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Finding the Fourth Proportional to 56,998.50, 78,657.93 and 31,848

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Solution

The fourth proportional to 56,998.50, 78,657.93 and 31,848 is: 43,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.50 : 78,657.93 = 31,848 : x
  2. Step 2: Convert to fraction form
    56,998.50/78,657.93 = 31,848/x
  3. Step 3: Cross multiply
    56,998.50x = 78,657.93 × 31,848
  4. Step 4: Simplify right side
    56,998.50x = 2,505,097,754.64
  5. Step 5: Solve for x
    x = 2,505,097,754.64/56,998.50
  6. Step 6: Final answer
    x = 43,950.24

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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.