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Finding the Fourth Proportional to 98,729.36, 148,063.32 and 33,050

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Solution

The fourth proportional to 98,729.36, 148,063.32 and 33,050 is: 49,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,729.36 : 148,063.32 = 33,050 : x
  2. Step 2: Convert to fraction form
    98,729.36/148,063.32 = 33,050/x
  3. Step 3: Cross multiply
    98,729.36x = 148,063.32 × 33,050
  4. Step 4: Simplify right side
    98,729.36x = 4,893,492,726
  5. Step 5: Solve for x
    x = 4,893,492,726/98,729.36
  6. Step 6: Final answer
    x = 49,564.72

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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.