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Finding the Fourth Proportional to 97,093.46, 145,696.80 and 40,930.13

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Solution

The fourth proportional to 97,093.46, 145,696.80 and 40,930.13 is: 61,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.46 : 145,696.80 = 40,930.13 : x
  2. Step 2: Convert to fraction form
    97,093.46/145,696.80 = 40,930.13/x
  3. Step 3: Cross multiply
    97,093.46x = 145,696.80 × 40,930.13
  4. Step 4: Simplify right side
    97,093.46x = 5,963,388,964.58
  5. Step 5: Solve for x
    x = 5,963,388,964.58/97,093.46
  6. Step 6: Final answer
    x = 61,419.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.