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Finding the Fourth Proportional to 97,657.65, 146,498.19 and 34,464.73

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Solution

The fourth proportional to 97,657.65, 146,498.19 and 34,464.73 is: 51,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,657.65 : 146,498.19 = 34,464.73 : x
  2. Step 2: Convert to fraction form
    97,657.65/146,498.19 = 34,464.73/x
  3. Step 3: Cross multiply
    97,657.65x = 146,498.19 × 34,464.73
  4. Step 4: Simplify right side
    97,657.65x = 5,049,019,831.35
  5. Step 5: Solve for x
    x = 5,049,019,831.35/97,657.65
  6. Step 6: Final answer
    x = 51,701.22

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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.