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Finding the Fourth Proportional to 97,704, 146,474.40 and 41,588.16

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Solution

The fourth proportional to 97,704, 146,474.40 and 41,588.16 is: 62,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,704 : 146,474.40 = 41,588.16 : x
  2. Step 2: Convert to fraction form
    97,704/146,474.40 = 41,588.16/x
  3. Step 3: Cross multiply
    97,704x = 146,474.40 × 41,588.16
  4. Step 4: Simplify right side
    97,704x = 6,091,600,783.10
  5. Step 5: Solve for x
    x = 6,091,600,783.10/97,704
  6. Step 6: Final answer
    x = 62,347.51

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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.