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Finding the Fourth Proportional to 97,636.65, 146,509.65 and 41,467.20

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Solution

The fourth proportional to 97,636.65, 146,509.65 and 41,467.20 is: 62,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,636.65 : 146,509.65 = 41,467.20 : x
  2. Step 2: Convert to fraction form
    97,636.65/146,509.65 = 41,467.20/x
  3. Step 3: Cross multiply
    97,636.65x = 146,509.65 × 41,467.20
  4. Step 4: Simplify right side
    97,636.65x = 6,075,344,958.48
  5. Step 5: Solve for x
    x = 6,075,344,958.48/97,636.65
  6. Step 6: Final answer
    x = 62,224.02

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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.