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Finding the Fourth Proportional to 102,391.03, 153,655.76 and 35,831.76

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Solution

The fourth proportional to 102,391.03, 153,655.76 and 35,831.76 is: 53,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,391.03 : 153,655.76 = 35,831.76 : x
  2. Step 2: Convert to fraction form
    102,391.03/153,655.76 = 35,831.76/x
  3. Step 3: Cross multiply
    102,391.03x = 153,655.76 × 35,831.76
  4. Step 4: Simplify right side
    102,391.03x = 5,505,756,314.94
  5. Step 5: Solve for x
    x = 5,505,756,314.94/102,391.03
  6. Step 6: Final answer
    x = 53,771.86

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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.