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Finding the Fourth Proportional to 77,973.32, 116,971.50 and 22,562.12

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Solution

The fourth proportional to 77,973.32, 116,971.50 and 22,562.12 is: 33,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973.32 : 116,971.50 = 22,562.12 : x
  2. Step 2: Convert to fraction form
    77,973.32/116,971.50 = 22,562.12/x
  3. Step 3: Cross multiply
    77,973.32x = 116,971.50 × 22,562.12
  4. Step 4: Simplify right side
    77,973.32x = 2,639,125,019.58
  5. Step 5: Solve for x
    x = 2,639,125,019.58/77,973.32
  6. Step 6: Final answer
    x = 33,846.51

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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.