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Finding the Fourth Proportional to 77,284.67, 106,654.59 and 43,295.67

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Solution

The fourth proportional to 77,284.67, 106,654.59 and 43,295.67 is: 59,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284.67 : 106,654.59 = 43,295.67 : x
  2. Step 2: Convert to fraction form
    77,284.67/106,654.59 = 43,295.67/x
  3. Step 3: Cross multiply
    77,284.67x = 106,654.59 × 43,295.67
  4. Step 4: Simplify right side
    77,284.67x = 4,617,681,932.63
  5. Step 5: Solve for x
    x = 4,617,681,932.63/77,284.67
  6. Step 6: Final answer
    x = 59,749.01

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Why These Related Problems?

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