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Finding the Fourth Proportional to 40,097, 55,333.86 and 23,341.16

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Solution

The fourth proportional to 40,097, 55,333.86 and 23,341.16 is: 32,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097 : 55,333.86 = 23,341.16 : x
  2. Step 2: Convert to fraction form
    40,097/55,333.86 = 23,341.16/x
  3. Step 3: Cross multiply
    40,097x = 55,333.86 × 23,341.16
  4. Step 4: Simplify right side
    40,097x = 1,291,556,479.68
  5. Step 5: Solve for x
    x = 1,291,556,479.68/40,097
  6. Step 6: Final answer
    x = 32,210.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.