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Finding the Fourth Proportional to 51,888.54, 77,831.73 and 35,206.86

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Solution

The fourth proportional to 51,888.54, 77,831.73 and 35,206.86 is: 52,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.54 : 77,831.73 = 35,206.86 : x
  2. Step 2: Convert to fraction form
    51,888.54/77,831.73 = 35,206.86/x
  3. Step 3: Cross multiply
    51,888.54x = 77,831.73 × 35,206.86
  4. Step 4: Simplify right side
    51,888.54x = 2,740,210,821.67
  5. Step 5: Solve for x
    x = 2,740,210,821.67/51,888.54
  6. Step 6: Final answer
    x = 52,809.56

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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.