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Finding the Fourth Proportional to 57,237.82, 85,855.81 and 15,684.82

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Solution

The fourth proportional to 57,237.82, 85,855.81 and 15,684.82 is: 23,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,237.82 : 85,855.81 = 15,684.82 : x
  2. Step 2: Convert to fraction form
    57,237.82/85,855.81 = 15,684.82/x
  3. Step 3: Cross multiply
    57,237.82x = 85,855.81 × 15,684.82
  4. Step 4: Simplify right side
    57,237.82x = 1,346,632,925.80
  5. Step 5: Solve for x
    x = 1,346,632,925.80/57,237.82
  6. Step 6: Final answer
    x = 23,526.98

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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.