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Finding the Fourth Proportional to 65,788.98, 98,698.05 and 30,709.50

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Solution

The fourth proportional to 65,788.98, 98,698.05 and 30,709.50 is: 46,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.98 : 98,698.05 = 30,709.50 : x
  2. Step 2: Convert to fraction form
    65,788.98/98,698.05 = 30,709.50/x
  3. Step 3: Cross multiply
    65,788.98x = 98,698.05 × 30,709.50
  4. Step 4: Simplify right side
    65,788.98x = 3,030,967,766.48
  5. Step 5: Solve for x
    x = 3,030,967,766.48/65,788.98
  6. Step 6: Final answer
    x = 46,071.06

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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.