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Finding the Fourth Proportional to 98,976.51, 148,467.60 and 35,802.45

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Solution

The fourth proportional to 98,976.51, 148,467.60 and 35,802.45 is: 53,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976.51 : 148,467.60 = 35,802.45 : x
  2. Step 2: Convert to fraction form
    98,976.51/148,467.60 = 35,802.45/x
  3. Step 3: Cross multiply
    98,976.51x = 148,467.60 × 35,802.45
  4. Step 4: Simplify right side
    98,976.51x = 5,315,503,825.62
  5. Step 5: Solve for x
    x = 5,315,503,825.62/98,976.51
  6. Step 6: Final answer
    x = 53,704.70

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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.