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Finding the Fourth Proportional to 42,705.29, 64,015.06 and 14,606.14

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Solution

The fourth proportional to 42,705.29, 64,015.06 and 14,606.14 is: 21,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705.29 : 64,015.06 = 14,606.14 : x
  2. Step 2: Convert to fraction form
    42,705.29/64,015.06 = 14,606.14/x
  3. Step 3: Cross multiply
    42,705.29x = 64,015.06 × 14,606.14
  4. Step 4: Simplify right side
    42,705.29x = 935,012,879.33
  5. Step 5: Solve for x
    x = 935,012,879.33/42,705.29
  6. Step 6: Final answer
    x = 21,894.54

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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.