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Finding the Fourth Proportional to 76,623.84, 105,738.84 and 42,632.37

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Solution

The fourth proportional to 76,623.84, 105,738.84 and 42,632.37 is: 58,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623.84 : 105,738.84 = 42,632.37 : x
  2. Step 2: Convert to fraction form
    76,623.84/105,738.84 = 42,632.37/x
  3. Step 3: Cross multiply
    76,623.84x = 105,738.84 × 42,632.37
  4. Step 4: Simplify right side
    76,623.84x = 4,507,897,350.25
  5. Step 5: Solve for x
    x = 4,507,897,350.25/76,623.84
  6. Step 6: Final answer
    x = 58,831.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.