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Finding the Fourth Proportional to 77,978.94, 116,950.42 and 21,823.01

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Solution

The fourth proportional to 77,978.94, 116,950.42 and 21,823.01 is: 32,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.94 : 116,950.42 = 21,823.01 : x
  2. Step 2: Convert to fraction form
    77,978.94/116,950.42 = 21,823.01/x
  3. Step 3: Cross multiply
    77,978.94x = 116,950.42 × 21,823.01
  4. Step 4: Simplify right side
    77,978.94x = 2,552,210,680.23
  5. Step 5: Solve for x
    x = 2,552,210,680.23/77,978.94
  6. Step 6: Final answer
    x = 32,729.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.