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Finding the Fourth Proportional to 65,746.98, 98,635.05 and 30,667.50

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Solution

The fourth proportional to 65,746.98, 98,635.05 and 30,667.50 is: 46,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.98 : 98,635.05 = 30,667.50 : x
  2. Step 2: Convert to fraction form
    65,746.98/98,635.05 = 30,667.50/x
  3. Step 3: Cross multiply
    65,746.98x = 98,635.05 × 30,667.50
  4. Step 4: Simplify right side
    65,746.98x = 3,024,890,395.88
  5. Step 5: Solve for x
    x = 3,024,890,395.88/65,746.98
  6. Step 6: Final answer
    x = 46,008.05

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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.