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Finding the Fourth Proportional to 70,373.44, 97,111.20 and 38,536

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Solution

The fourth proportional to 70,373.44, 97,111.20 and 38,536 is: 53,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,373.44 : 97,111.20 = 38,536 : x
  2. Step 2: Convert to fraction form
    70,373.44/97,111.20 = 38,536/x
  3. Step 3: Cross multiply
    70,373.44x = 97,111.20 × 38,536
  4. Step 4: Simplify right side
    70,373.44x = 3,742,277,203.20
  5. Step 5: Solve for x
    x = 3,742,277,203.20/70,373.44
  6. Step 6: Final answer
    x = 53,177.41

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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.