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Finding the Fourth Proportional to 78,007.50, 117,030.69 and 22,603.50

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Solution

The fourth proportional to 78,007.50, 117,030.69 and 22,603.50 is: 33,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007.50 : 117,030.69 = 22,603.50 : x
  2. Step 2: Convert to fraction form
    78,007.50/117,030.69 = 22,603.50/x
  3. Step 3: Cross multiply
    78,007.50x = 117,030.69 × 22,603.50
  4. Step 4: Simplify right side
    78,007.50x = 2,645,303,201.42
  5. Step 5: Solve for x
    x = 2,645,303,201.42/78,007.50
  6. Step 6: Final answer
    x = 33,910.88

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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.