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Finding the Fourth Proportional to 32,905.40, 49,365.30 and 16,273.40

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Solution

The fourth proportional to 32,905.40, 49,365.30 and 16,273.40 is: 24,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.40 : 49,365.30 = 16,273.40 : x
  2. Step 2: Convert to fraction form
    32,905.40/49,365.30 = 16,273.40/x
  3. Step 3: Cross multiply
    32,905.40x = 49,365.30 × 16,273.40
  4. Step 4: Simplify right side
    32,905.40x = 803,341,273.02
  5. Step 5: Solve for x
    x = 803,341,273.02/32,905.40
  6. Step 6: Final answer
    x = 24,413.66

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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.