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Finding the Fourth Proportional to 98,953.84, 148,412.38 and 28,816.48

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Solution

The fourth proportional to 98,953.84, 148,412.38 and 28,816.48 is: 43,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.84 : 148,412.38 = 28,816.48 : x
  2. Step 2: Convert to fraction form
    98,953.84/148,412.38 = 28,816.48/x
  3. Step 3: Cross multiply
    98,953.84x = 148,412.38 × 28,816.48
  4. Step 4: Simplify right side
    98,953.84x = 4,276,722,380.02
  5. Step 5: Solve for x
    x = 4,276,722,380.02/98,953.84
  6. Step 6: Final answer
    x = 43,219.37

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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.