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Finding the Fourth Proportional to 56,181.48, 77,526.54 and 31,029

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Solution

The fourth proportional to 56,181.48, 77,526.54 and 31,029 is: 42,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,181.48 : 77,526.54 = 31,029 : x
  2. Step 2: Convert to fraction form
    56,181.48/77,526.54 = 31,029/x
  3. Step 3: Cross multiply
    56,181.48x = 77,526.54 × 31,029
  4. Step 4: Simplify right side
    56,181.48x = 2,405,571,009.66
  5. Step 5: Solve for x
    x = 2,405,571,009.66/56,181.48
  6. Step 6: Final answer
    x = 42,817.86

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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.