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Finding the Fourth Proportional to 70,927.30, 97,880.32 and 39,097.33

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Solution

The fourth proportional to 70,927.30, 97,880.32 and 39,097.33 is: 53,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,927.30 : 97,880.32 = 39,097.33 : x
  2. Step 2: Convert to fraction form
    70,927.30/97,880.32 = 39,097.33/x
  3. Step 3: Cross multiply
    70,927.30x = 97,880.32 × 39,097.33
  4. Step 4: Simplify right side
    70,927.30x = 3,826,859,636.25
  5. Step 5: Solve for x
    x = 3,826,859,636.25/70,927.30
  6. Step 6: Final answer
    x = 53,954.68

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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.