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Finding the Fourth Proportional to 32,871.71, 45,366.14 and 19,447.29

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Solution

The fourth proportional to 32,871.71, 45,366.14 and 19,447.29 is: 26,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.71 : 45,366.14 = 19,447.29 : x
  2. Step 2: Convert to fraction form
    32,871.71/45,366.14 = 19,447.29/x
  3. Step 3: Cross multiply
    32,871.71x = 45,366.14 × 19,447.29
  4. Step 4: Simplify right side
    32,871.71x = 882,248,529.38
  5. Step 5: Solve for x
    x = 882,248,529.38/32,871.71
  6. Step 6: Final answer
    x = 26,839.14

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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.