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Finding the Fourth Proportional to 27,483, 41,222.58 and 14,342.76

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Solution

The fourth proportional to 27,483, 41,222.58 and 14,342.76 is: 21,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483 : 41,222.58 = 14,342.76 : x
  2. Step 2: Convert to fraction form
    27,483/41,222.58 = 14,342.76/x
  3. Step 3: Cross multiply
    27,483x = 41,222.58 × 14,342.76
  4. Step 4: Simplify right side
    27,483x = 591,245,571.52
  5. Step 5: Solve for x
    x = 591,245,571.52/27,483
  6. Step 6: Final answer
    x = 21,513.14

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1.5x scale

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.