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Finding the Fourth Proportional to 76,253.84, 114,381.54 and 20,102.01

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Solution

The fourth proportional to 76,253.84, 114,381.54 and 20,102.01 is: 30,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,253.84 : 114,381.54 = 20,102.01 : x
  2. Step 2: Convert to fraction form
    76,253.84/114,381.54 = 20,102.01/x
  3. Step 3: Cross multiply
    76,253.84x = 114,381.54 × 20,102.01
  4. Step 4: Simplify right side
    76,253.84x = 2,299,298,860.90
  5. Step 5: Solve for x
    x = 2,299,298,860.90/76,253.84
  6. Step 6: Final answer
    x = 30,153.22

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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.