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Finding the Fourth Proportional to 98,653.52, 147,987.48 and 35,486.48

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Solution

The fourth proportional to 98,653.52, 147,987.48 and 35,486.48 is: 53,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,653.52 : 147,987.48 = 35,486.48 : x
  2. Step 2: Convert to fraction form
    98,653.52/147,987.48 = 35,486.48/x
  3. Step 3: Cross multiply
    98,653.52x = 147,987.48 × 35,486.48
  4. Step 4: Simplify right side
    98,653.52x = 5,251,554,749.27
  5. Step 5: Solve for x
    x = 5,251,554,749.27/98,653.52
  6. Step 6: Final answer
    x = 53,232.31

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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.