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Finding the Fourth Proportional to 76,681.89, 114,983.93 and 35,093.25

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Solution

The fourth proportional to 76,681.89, 114,983.93 and 35,093.25 is: 52,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.89 : 114,983.93 = 35,093.25 : x
  2. Step 2: Convert to fraction form
    76,681.89/114,983.93 = 35,093.25/x
  3. Step 3: Cross multiply
    76,681.89x = 114,983.93 × 35,093.25
  4. Step 4: Simplify right side
    76,681.89x = 4,035,159,889.21
  5. Step 5: Solve for x
    x = 4,035,159,889.21/76,681.89
  6. Step 6: Final answer
    x = 52,622.07

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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.