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Finding the Fourth Proportional to 42,671.43, 64,023.75 and 17,705.07

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Solution

The fourth proportional to 42,671.43, 64,023.75 and 17,705.07 is: 26,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,671.43 : 64,023.75 = 17,705.07 : x
  2. Step 2: Convert to fraction form
    42,671.43/64,023.75 = 17,705.07/x
  3. Step 3: Cross multiply
    42,671.43x = 64,023.75 × 17,705.07
  4. Step 4: Simplify right side
    42,671.43x = 1,133,544,975.41
  5. Step 5: Solve for x
    x = 1,133,544,975.41/42,671.43
  6. Step 6: Final answer
    x = 26,564.49

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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.