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Finding the Fourth Proportional to 32,814.78, 49,222.88 and 11,756.20

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Solution

The fourth proportional to 32,814.78, 49,222.88 and 11,756.20 is: 17,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.78 : 49,222.88 = 11,756.20 : x
  2. Step 2: Convert to fraction form
    32,814.78/49,222.88 = 11,756.20/x
  3. Step 3: Cross multiply
    32,814.78x = 49,222.88 × 11,756.20
  4. Step 4: Simplify right side
    32,814.78x = 578,674,021.86
  5. Step 5: Solve for x
    x = 578,674,021.86/32,814.78
  6. Step 6: Final answer
    x = 17,634.55

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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.