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Finding the Fourth Proportional to 65,410.83, 98,148.66 and 25,967.07

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Solution

The fourth proportional to 65,410.83, 98,148.66 and 25,967.07 is: 38,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,410.83 : 98,148.66 = 25,967.07 : x
  2. Step 2: Convert to fraction form
    65,410.83/98,148.66 = 25,967.07/x
  3. Step 3: Cross multiply
    65,410.83x = 98,148.66 × 25,967.07
  4. Step 4: Simplify right side
    65,410.83x = 2,548,633,124.63
  5. Step 5: Solve for x
    x = 2,548,633,124.63/65,410.83
  6. Step 6: Final answer
    x = 38,963.47

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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.