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Finding the Fourth Proportional to 65,421, 98,133.12 and 23,868

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Solution

The fourth proportional to 65,421, 98,133.12 and 23,868 is: 35,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421 : 98,133.12 = 23,868 : x
  2. Step 2: Convert to fraction form
    65,421/98,133.12 = 23,868/x
  3. Step 3: Cross multiply
    65,421x = 98,133.12 × 23,868
  4. Step 4: Simplify right side
    65,421x = 2,342,241,308.16
  5. Step 5: Solve for x
    x = 2,342,241,308.16/65,421
  6. Step 6: Final answer
    x = 35,802.59

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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.