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Finding the Fourth Proportional to 98,863.25, 148,264.16 and 35,675.17

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Solution

The fourth proportional to 98,863.25, 148,264.16 and 35,675.17 is: 53,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863.25 : 148,264.16 = 35,675.17 : x
  2. Step 2: Convert to fraction form
    98,863.25/148,264.16 = 35,675.17/x
  3. Step 3: Cross multiply
    98,863.25x = 148,264.16 × 35,675.17
  4. Step 4: Simplify right side
    98,863.25x = 5,289,348,563.87
  5. Step 5: Solve for x
    x = 5,289,348,563.87/98,863.25
  6. Step 6: Final answer
    x = 53,501.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.