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Finding the Fourth Proportional to 32,905.03, 49,346 and 9,206.21

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Solution

The fourth proportional to 32,905.03, 49,346 and 9,206.21 is: 13,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.03 : 49,346 = 9,206.21 : x
  2. Step 2: Convert to fraction form
    32,905.03/49,346 = 9,206.21/x
  3. Step 3: Cross multiply
    32,905.03x = 49,346 × 9,206.21
  4. Step 4: Simplify right side
    32,905.03x = 454,289,638.66
  5. Step 5: Solve for x
    x = 454,289,638.66/32,905.03
  6. Step 6: Final answer
    x = 13,806.08

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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.