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Finding the Fourth Proportional to 97,189.71, 145,804.34 and 41,029.84

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Solution

The fourth proportional to 97,189.71, 145,804.34 and 41,029.84 is: 61,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,189.71 : 145,804.34 = 41,029.84 : x
  2. Step 2: Convert to fraction form
    97,189.71/145,804.34 = 41,029.84/x
  3. Step 3: Cross multiply
    97,189.71x = 145,804.34 × 41,029.84
  4. Step 4: Simplify right side
    97,189.71x = 5,982,328,741.51
  5. Step 5: Solve for x
    x = 5,982,328,741.51/97,189.71
  6. Step 6: Final answer
    x = 61,553.11

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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.