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Finding the Fourth Proportional to 97,410.34, 134,424.96 and 54,390.50

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Solution

The fourth proportional to 97,410.34, 134,424.96 and 54,390.50 is: 75,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,410.34 : 134,424.96 = 54,390.50 : x
  2. Step 2: Convert to fraction form
    97,410.34/134,424.96 = 54,390.50/x
  3. Step 3: Cross multiply
    97,410.34x = 134,424.96 × 54,390.50
  4. Step 4: Simplify right side
    97,410.34x = 7,311,440,786.88
  5. Step 5: Solve for x
    x = 7,311,440,786.88/97,410.34
  6. Step 6: Final answer
    x = 75,058.16

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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.