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Finding the Fourth Proportional to 97,656.65, 146,496.69 and 34,463.72

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Solution

The fourth proportional to 97,656.65, 146,496.69 and 34,463.72 is: 51,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,656.65 : 146,496.69 = 34,463.72 : x
  2. Step 2: Convert to fraction form
    97,656.65/146,496.69 = 34,463.72/x
  3. Step 3: Cross multiply
    97,656.65x = 146,496.69 × 34,463.72
  4. Step 4: Simplify right side
    97,656.65x = 5,048,821,271.33
  5. Step 5: Solve for x
    x = 5,048,821,271.33/97,656.65
  6. Step 6: Final answer
    x = 51,699.72

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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.