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Finding the Fourth Proportional to 56,286.96, 84,391.08 and 24,681.84

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Solution

The fourth proportional to 56,286.96, 84,391.08 and 24,681.84 is: 37,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286.96 : 84,391.08 = 24,681.84 : x
  2. Step 2: Convert to fraction form
    56,286.96/84,391.08 = 24,681.84/x
  3. Step 3: Cross multiply
    56,286.96x = 84,391.08 × 24,681.84
  4. Step 4: Simplify right side
    56,286.96x = 2,082,927,133.99
  5. Step 5: Solve for x
    x = 2,082,927,133.99/56,286.96
  6. Step 6: Final answer
    x = 37,005.50

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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.