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Finding the Fourth Proportional to 70,264.25, 96,962.25 and 40,059.30

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Solution

The fourth proportional to 70,264.25, 96,962.25 and 40,059.30 is: 55,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264.25 : 96,962.25 = 40,059.30 : x
  2. Step 2: Convert to fraction form
    70,264.25/96,962.25 = 40,059.30/x
  3. Step 3: Cross multiply
    70,264.25x = 96,962.25 × 40,059.30
  4. Step 4: Simplify right side
    70,264.25x = 3,884,239,877.22
  5. Step 5: Solve for x
    x = 3,884,239,877.22/70,264.25
  6. Step 6: Final answer
    x = 55,280.46

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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.