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Finding the Fourth Proportional to 46,871.40, 64,672.53 and 27,757.18

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Solution

The fourth proportional to 46,871.40, 64,672.53 and 27,757.18 is: 38,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,871.40 : 64,672.53 = 27,757.18 : x
  2. Step 2: Convert to fraction form
    46,871.40/64,672.53 = 27,757.18/x
  3. Step 3: Cross multiply
    46,871.40x = 64,672.53 × 27,757.18
  4. Step 4: Simplify right side
    46,871.40x = 1,795,127,056.27
  5. Step 5: Solve for x
    x = 1,795,127,056.27/46,871.40
  6. Step 6: Final answer
    x = 38,298.99

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Why These Related Problems?

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