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Finding the Fourth Proportional to 32,971.20, 49,456.80 and 31,804.80

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Solution

The fourth proportional to 32,971.20, 49,456.80 and 31,804.80 is: 47,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.20 : 49,456.80 = 31,804.80 : x
  2. Step 2: Convert to fraction form
    32,971.20/49,456.80 = 31,804.80/x
  3. Step 3: Cross multiply
    32,971.20x = 49,456.80 × 31,804.80
  4. Step 4: Simplify right side
    32,971.20x = 1,572,963,632.64
  5. Step 5: Solve for x
    x = 1,572,963,632.64/32,971.20
  6. Step 6: Final answer
    x = 47,707.20

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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.