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Finding the Fourth Proportional to 64,414.86, 96,577.03 and 28,374.22

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Solution

The fourth proportional to 64,414.86, 96,577.03 and 28,374.22 is: 42,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.86 : 96,577.03 = 28,374.22 : x
  2. Step 2: Convert to fraction form
    64,414.86/96,577.03 = 28,374.22/x
  3. Step 3: Cross multiply
    64,414.86x = 96,577.03 × 28,374.22
  4. Step 4: Simplify right side
    64,414.86x = 2,740,297,271.41
  5. Step 5: Solve for x
    x = 2,740,297,271.41/64,414.86
  6. Step 6: Final answer
    x = 42,541.38

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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.