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Finding the Fourth Proportional to 42,728.22, 64,106.01 and 20,543.22

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Solution

The fourth proportional to 42,728.22, 64,106.01 and 20,543.22 is: 30,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728.22 : 64,106.01 = 20,543.22 : x
  2. Step 2: Convert to fraction form
    42,728.22/64,106.01 = 20,543.22/x
  3. Step 3: Cross multiply
    42,728.22x = 64,106.01 × 20,543.22
  4. Step 4: Simplify right side
    42,728.22x = 1,316,943,866.75
  5. Step 5: Solve for x
    x = 1,316,943,866.75/42,728.22
  6. Step 6: Final answer
    x = 30,821.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.