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Finding the Fourth Proportional to 75,461.40, 113,190.94 and 19,301.01

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Solution

The fourth proportional to 75,461.40, 113,190.94 and 19,301.01 is: 28,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.40 : 113,190.94 = 19,301.01 : x
  2. Step 2: Convert to fraction form
    75,461.40/113,190.94 = 19,301.01/x
  3. Step 3: Cross multiply
    75,461.40x = 113,190.94 × 19,301.01
  4. Step 4: Simplify right side
    75,461.40x = 2,184,699,592.64
  5. Step 5: Solve for x
    x = 2,184,699,592.64/75,461.40
  6. Step 6: Final answer
    x = 28,951.22

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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.