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Finding the Fourth Proportional to 64,998.63, 97,462.71 and 29,907

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Solution

The fourth proportional to 64,998.63, 97,462.71 and 29,907 is: 44,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998.63 : 97,462.71 = 29,907 : x
  2. Step 2: Convert to fraction form
    64,998.63/97,462.71 = 29,907/x
  3. Step 3: Cross multiply
    64,998.63x = 97,462.71 × 29,907
  4. Step 4: Simplify right side
    64,998.63x = 2,914,817,267.97
  5. Step 5: Solve for x
    x = 2,914,817,267.97/64,998.63
  6. Step 6: Final answer
    x = 44,844.29

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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.