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Finding the Fourth Proportional to 56,533.78, 84,806.46 and 14,980.78

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Solution

The fourth proportional to 56,533.78, 84,806.46 and 14,980.78 is: 22,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,533.78 : 84,806.46 = 14,980.78 : x
  2. Step 2: Convert to fraction form
    56,533.78/84,806.46 = 14,980.78/x
  3. Step 3: Cross multiply
    56,533.78x = 84,806.46 × 14,980.78
  4. Step 4: Simplify right side
    56,533.78x = 1,270,466,919.84
  5. Step 5: Solve for x
    x = 1,270,466,919.84/56,533.78
  6. Step 6: Final answer
    x = 22,472.70

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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.