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Finding the Fourth Proportional to 97,402.40, 134,415.41 and 54,964.88

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Solution

The fourth proportional to 97,402.40, 134,415.41 and 54,964.88 is: 75,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.40 : 134,415.41 = 54,964.88 : x
  2. Step 2: Convert to fraction form
    97,402.40/134,415.41 = 54,964.88/x
  3. Step 3: Cross multiply
    97,402.40x = 134,415.41 × 54,964.88
  4. Step 4: Simplify right side
    97,402.40x = 7,388,125,933.90
  5. Step 5: Solve for x
    x = 7,388,125,933.90/97,402.40
  6. Step 6: Final answer
    x = 75,851.58

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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.