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Finding the Fourth Proportional to 65,426, 98,140.62 and 23,873

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Solution

The fourth proportional to 65,426, 98,140.62 and 23,873 is: 35,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426 : 98,140.62 = 23,873 : x
  2. Step 2: Convert to fraction form
    65,426/98,140.62 = 23,873/x
  3. Step 3: Cross multiply
    65,426x = 98,140.62 × 23,873
  4. Step 4: Simplify right side
    65,426x = 2,342,911,021.26
  5. Step 5: Solve for x
    x = 2,342,911,021.26/65,426
  6. Step 6: Final answer
    x = 35,810.09

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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.