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Finding the Fourth Proportional to 34,831.65, 52,211.73 and 13,763.16

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Solution

The fourth proportional to 34,831.65, 52,211.73 and 13,763.16 is: 20,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,831.65 : 52,211.73 = 13,763.16 : x
  2. Step 2: Convert to fraction form
    34,831.65/52,211.73 = 13,763.16/x
  3. Step 3: Cross multiply
    34,831.65x = 52,211.73 × 13,763.16
  4. Step 4: Simplify right side
    34,831.65x = 718,598,393.87
  5. Step 5: Solve for x
    x = 718,598,393.87/34,831.65
  6. Step 6: Final answer
    x = 20,630.62

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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.