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Finding the Fourth Proportional to 70,266.36, 96,967.62 and 38,435.24

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Solution

The fourth proportional to 70,266.36, 96,967.62 and 38,435.24 is: 53,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,266.36 : 96,967.62 = 38,435.24 : x
  2. Step 2: Convert to fraction form
    70,266.36/96,967.62 = 38,435.24/x
  3. Step 3: Cross multiply
    70,266.36x = 96,967.62 × 38,435.24
  4. Step 4: Simplify right side
    70,266.36x = 3,726,973,746.93
  5. Step 5: Solve for x
    x = 3,726,973,746.93/70,266.36
  6. Step 6: Final answer
    x = 53,040.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.