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Finding the Fourth Proportional to 51,656.98, 77,362.44 and 35,877.76

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Solution

The fourth proportional to 51,656.98, 77,362.44 and 35,877.76 is: 53,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656.98 : 77,362.44 = 35,877.76 : x
  2. Step 2: Convert to fraction form
    51,656.98/77,362.44 = 35,877.76/x
  3. Step 3: Cross multiply
    51,656.98x = 77,362.44 × 35,877.76
  4. Step 4: Simplify right side
    51,656.98x = 2,775,591,055.33
  5. Step 5: Solve for x
    x = 2,775,591,055.33/51,656.98
  6. Step 6: Final answer
    x = 53,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.