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Finding the Fourth Proportional to 47,083, 64,980.30 and 27,211

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Solution

The fourth proportional to 47,083, 64,980.30 and 27,211 is: 37,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,083 : 64,980.30 = 27,211 : x
  2. Step 2: Convert to fraction form
    47,083/64,980.30 = 27,211/x
  3. Step 3: Cross multiply
    47,083x = 64,980.30 × 27,211
  4. Step 4: Simplify right side
    47,083x = 1,768,178,943.30
  5. Step 5: Solve for x
    x = 1,768,178,943.30/47,083
  6. Step 6: Final answer
    x = 37,554.51

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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.