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Finding the Fourth Proportional to 42,765.54, 64,129.96 and 14,688.42

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Solution

The fourth proportional to 42,765.54, 64,129.96 and 14,688.42 is: 22,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.54 : 64,129.96 = 14,688.42 : x
  2. Step 2: Convert to fraction form
    42,765.54/64,129.96 = 14,688.42/x
  3. Step 3: Cross multiply
    42,765.54x = 64,129.96 × 14,688.42
  4. Step 4: Simplify right side
    42,765.54x = 941,967,713.62
  5. Step 5: Solve for x
    x = 941,967,713.62/42,765.54
  6. Step 6: Final answer
    x = 22,026.33

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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.