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Finding the Fourth Proportional to 42,851.76, 64,271.04 and 11,689.44

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Solution

The fourth proportional to 42,851.76, 64,271.04 and 11,689.44 is: 17,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.76 : 64,271.04 = 11,689.44 : x
  2. Step 2: Convert to fraction form
    42,851.76/64,271.04 = 11,689.44/x
  3. Step 3: Cross multiply
    42,851.76x = 64,271.04 × 11,689.44
  4. Step 4: Simplify right side
    42,851.76x = 751,292,465.82
  5. Step 5: Solve for x
    x = 751,292,465.82/42,851.76
  6. Step 6: Final answer
    x = 17,532.36

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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.