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Finding the Fourth Proportional to 98,497.50, 147,746.25 and 24,625.50

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Solution

The fourth proportional to 98,497.50, 147,746.25 and 24,625.50 is: 36,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,497.50 : 147,746.25 = 24,625.50 : x
  2. Step 2: Convert to fraction form
    98,497.50/147,746.25 = 24,625.50/x
  3. Step 3: Cross multiply
    98,497.50x = 147,746.25 × 24,625.50
  4. Step 4: Simplify right side
    98,497.50x = 3,638,325,279.38
  5. Step 5: Solve for x
    x = 3,638,325,279.38/98,497.50
  6. Step 6: Final answer
    x = 36,938.25

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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.