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Finding the Fourth Proportional to 27,833, 41,749.50 and 9,365

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Solution

The fourth proportional to 27,833, 41,749.50 and 9,365 is: 14,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833 : 41,749.50 = 9,365 : x
  2. Step 2: Convert to fraction form
    27,833/41,749.50 = 9,365/x
  3. Step 3: Cross multiply
    27,833x = 41,749.50 × 9,365
  4. Step 4: Simplify right side
    27,833x = 390,984,067.50
  5. Step 5: Solve for x
    x = 390,984,067.50/27,833
  6. Step 6: Final answer
    x = 14,047.50

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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.