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Finding the Fourth Proportional to 64,864.13, 97,106.64 and 58,638.47

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Solution

The fourth proportional to 64,864.13, 97,106.64 and 58,638.47 is: 87,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864.13 : 97,106.64 = 58,638.47 : x
  2. Step 2: Convert to fraction form
    64,864.13/97,106.64 = 58,638.47/x
  3. Step 3: Cross multiply
    64,864.13x = 97,106.64 × 58,638.47
  4. Step 4: Simplify right side
    64,864.13x = 5,694,184,796.44
  5. Step 5: Solve for x
    x = 5,694,184,796.44/64,864.13
  6. Step 6: Final answer
    x = 87,786.34

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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.