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Finding the Fourth Proportional to 64,864.14, 97,106.64 and 58,638.48

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Solution

The fourth proportional to 64,864.14, 97,106.64 and 58,638.48 is: 87,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864.14 : 97,106.64 = 58,638.48 : x
  2. Step 2: Convert to fraction form
    64,864.14/97,106.64 = 58,638.48/x
  3. Step 3: Cross multiply
    64,864.14x = 97,106.64 × 58,638.48
  4. Step 4: Simplify right side
    64,864.14x = 5,694,185,767.51
  5. Step 5: Solve for x
    x = 5,694,185,767.51/64,864.14
  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.