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Finding the Fourth Proportional to 70,476.71, 97,261.82 and 41,813.37

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Solution

The fourth proportional to 70,476.71, 97,261.82 and 41,813.37 is: 57,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476.71 : 97,261.82 = 41,813.37 : x
  2. Step 2: Convert to fraction form
    70,476.71/97,261.82 = 41,813.37/x
  3. Step 3: Cross multiply
    70,476.71x = 97,261.82 × 41,813.37
  4. Step 4: Simplify right side
    70,476.71x = 4,066,844,257.47
  5. Step 5: Solve for x
    x = 4,066,844,257.47/70,476.71
  6. Step 6: Final answer
    x = 57,704.80

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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.