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Finding the Fourth Proportional to 39,097, 58,656.30 and 11,395

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Solution

The fourth proportional to 39,097, 58,656.30 and 11,395 is: 17,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097 : 58,656.30 = 11,395 : x
  2. Step 2: Convert to fraction form
    39,097/58,656.30 = 11,395/x
  3. Step 3: Cross multiply
    39,097x = 58,656.30 × 11,395
  4. Step 4: Simplify right side
    39,097x = 668,388,538.50
  5. Step 5: Solve for x
    x = 668,388,538.50/39,097
  6. Step 6: Final answer
    x = 17,095.65

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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.