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Finding the Fourth Proportional to 70,963.50, 97,930.32 and 39,133.47

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Solution

The fourth proportional to 70,963.50, 97,930.32 and 39,133.47 is: 54,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.50 : 97,930.32 = 39,133.47 : x
  2. Step 2: Convert to fraction form
    70,963.50/97,930.32 = 39,133.47/x
  3. Step 3: Cross multiply
    70,963.50x = 97,930.32 × 39,133.47
  4. Step 4: Simplify right side
    70,963.50x = 3,832,353,239.81
  5. Step 5: Solve for x
    x = 3,832,353,239.81/70,963.50
  6. Step 6: Final answer
    x = 54,004.57

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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.