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Finding the Fourth Proportional to 33,047.32, 49,564.68 and 9,354.67

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Solution

The fourth proportional to 33,047.32, 49,564.68 and 9,354.67 is: 14,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.32 : 49,564.68 = 9,354.67 : x
  2. Step 2: Convert to fraction form
    33,047.32/49,564.68 = 9,354.67/x
  3. Step 3: Cross multiply
    33,047.32x = 49,564.68 × 9,354.67
  4. Step 4: Simplify right side
    33,047.32x = 463,661,225.06
  5. Step 5: Solve for x
    x = 463,661,225.06/33,047.32
  6. Step 6: Final answer
    x = 14,030.22

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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.