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Finding the Fourth Proportional to 27,827, 41,740.50 and 9,359

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Solution

The fourth proportional to 27,827, 41,740.50 and 9,359 is: 14,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827 : 41,740.50 = 9,359 : x
  2. Step 2: Convert to fraction form
    27,827/41,740.50 = 9,359/x
  3. Step 3: Cross multiply
    27,827x = 41,740.50 × 9,359
  4. Step 4: Simplify right side
    27,827x = 390,649,339.50
  5. Step 5: Solve for x
    x = 390,649,339.50/27,827
  6. Step 6: Final answer
    x = 14,038.50

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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.