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Finding the Fourth Proportional to 65,653.74, 98,490.33 and 24,097.50

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Solution

The fourth proportional to 65,653.74, 98,490.33 and 24,097.50 is: 36,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.74 : 98,490.33 = 24,097.50 : x
  2. Step 2: Convert to fraction form
    65,653.74/98,490.33 = 24,097.50/x
  3. Step 3: Cross multiply
    65,653.74x = 98,490.33 × 24,097.50
  4. Step 4: Simplify right side
    65,653.74x = 2,373,370,727.18
  5. Step 5: Solve for x
    x = 2,373,370,727.18/65,653.74
  6. Step 6: Final answer
    x = 36,149.82

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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.