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Finding the Fourth Proportional to 57,302.71, 85,954.65 and 17,322.02

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Solution

The fourth proportional to 57,302.71, 85,954.65 and 17,322.02 is: 25,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302.71 : 85,954.65 = 17,322.02 : x
  2. Step 2: Convert to fraction form
    57,302.71/85,954.65 = 17,322.02/x
  3. Step 3: Cross multiply
    57,302.71x = 85,954.65 × 17,322.02
  4. Step 4: Simplify right side
    57,302.71x = 1,488,908,166.39
  5. Step 5: Solve for x
    x = 1,488,908,166.39/57,302.71
  6. Step 6: Final answer
    x = 25,983.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.