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Finding the Fourth Proportional to 70,908.49, 97,853.73 and 38,643.12

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Solution

The fourth proportional to 70,908.49, 97,853.73 and 38,643.12 is: 53,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908.49 : 97,853.73 = 38,643.12 : x
  2. Step 2: Convert to fraction form
    70,908.49/97,853.73 = 38,643.12/x
  3. Step 3: Cross multiply
    70,908.49x = 97,853.73 × 38,643.12
  4. Step 4: Simplify right side
    70,908.49x = 3,781,372,941.57
  5. Step 5: Solve for x
    x = 3,781,372,941.57/70,908.49
  6. Step 6: Final answer
    x = 53,327.51

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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.