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Finding the Fourth Proportional to 32,848.40, 49,222.20 and 24,489.20

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Solution

The fourth proportional to 32,848.40, 49,222.20 and 24,489.20 is: 36,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848.40 : 49,222.20 = 24,489.20 : x
  2. Step 2: Convert to fraction form
    32,848.40/49,222.20 = 24,489.20/x
  3. Step 3: Cross multiply
    32,848.40x = 49,222.20 × 24,489.20
  4. Step 4: Simplify right side
    32,848.40x = 1,205,412,300.24
  5. Step 5: Solve for x
    x = 1,205,412,300.24/32,848.40
  6. Step 6: Final answer
    x = 36,696.23

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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.