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Finding the Fourth Proportional to 64,932, 89,606.24 and 35,124

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Solution

The fourth proportional to 64,932, 89,606.24 and 35,124 is: 48,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,932 : 89,606.24 = 35,124 : x
  2. Step 2: Convert to fraction form
    64,932/89,606.24 = 35,124/x
  3. Step 3: Cross multiply
    64,932x = 89,606.24 × 35,124
  4. Step 4: Simplify right side
    64,932x = 3,147,329,573.76
  5. Step 5: Solve for x
    x = 3,147,329,573.76/64,932
  6. Step 6: Final answer
    x = 48,471.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.