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Finding the Fourth Proportional to 37,658.52, 56,465.64 and 14,286.60

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Solution

The fourth proportional to 37,658.52, 56,465.64 and 14,286.60 is: 21,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.52 : 56,465.64 = 14,286.60 : x
  2. Step 2: Convert to fraction form
    37,658.52/56,465.64 = 14,286.60/x
  3. Step 3: Cross multiply
    37,658.52x = 56,465.64 × 14,286.60
  4. Step 4: Simplify right side
    37,658.52x = 806,702,012.42
  5. Step 5: Solve for x
    x = 806,702,012.42/37,658.52
  6. Step 6: Final answer
    x = 21,421.50

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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.