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Finding the Fourth Proportional to 42,782.10, 64,179.49 and 14,709.39

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Solution

The fourth proportional to 42,782.10, 64,179.49 and 14,709.39 is: 22,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.10 : 64,179.49 = 14,709.39 : x
  2. Step 2: Convert to fraction form
    42,782.10/64,179.49 = 14,709.39/x
  3. Step 3: Cross multiply
    42,782.10x = 64,179.49 × 14,709.39
  4. Step 4: Simplify right side
    42,782.10x = 944,041,148.41
  5. Step 5: Solve for x
    x = 944,041,148.41/42,782.10
  6. Step 6: Final answer
    x = 22,066.26

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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.