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Finding the Fourth Proportional to 98,863.16, 148,294.74 and 24,991.16

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Solution

The fourth proportional to 98,863.16, 148,294.74 and 24,991.16 is: 37,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863.16 : 148,294.74 = 24,991.16 : x
  2. Step 2: Convert to fraction form
    98,863.16/148,294.74 = 24,991.16/x
  3. Step 3: Cross multiply
    98,863.16x = 148,294.74 × 24,991.16
  4. Step 4: Simplify right side
    98,863.16x = 3,706,057,574.50
  5. Step 5: Solve for x
    x = 3,706,057,574.50/98,863.16
  6. Step 6: Final answer
    x = 37,486.74

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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.