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Finding the Fourth Proportional to 101,999.63, 153,004.91 and 31,884.41

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Solution

The fourth proportional to 101,999.63, 153,004.91 and 31,884.41 is: 47,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999.63 : 153,004.91 = 31,884.41 : x
  2. Step 2: Convert to fraction form
    101,999.63/153,004.91 = 31,884.41/x
  3. Step 3: Cross multiply
    101,999.63x = 153,004.91 × 31,884.41
  4. Step 4: Simplify right side
    101,999.63x = 4,878,470,358.01
  5. Step 5: Solve for x
    x = 4,878,470,358.01/101,999.63
  6. Step 6: Final answer
    x = 47,828.32

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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.