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Finding the Fourth Proportional to 95,762.80, 143,644.26 and 45,831.16

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Solution

The fourth proportional to 95,762.80, 143,644.26 and 45,831.16 is: 68,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,762.80 : 143,644.26 = 45,831.16 : x
  2. Step 2: Convert to fraction form
    95,762.80/143,644.26 = 45,831.16/x
  3. Step 3: Cross multiply
    95,762.80x = 143,644.26 × 45,831.16
  4. Step 4: Simplify right side
    95,762.80x = 6,583,383,063.14
  5. Step 5: Solve for x
    x = 6,583,383,063.14/95,762.80
  6. Step 6: Final answer
    x = 68,746.77

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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.