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Finding the Fourth Proportional to 56,523, 84,786.12 and 14,970

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Solution

The fourth proportional to 56,523, 84,786.12 and 14,970 is: 22,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523 : 84,786.12 = 14,970 : x
  2. Step 2: Convert to fraction form
    56,523/84,786.12 = 14,970/x
  3. Step 3: Cross multiply
    56,523x = 84,786.12 × 14,970
  4. Step 4: Simplify right side
    56,523x = 1,269,248,216.40
  5. Step 5: Solve for x
    x = 1,269,248,216.40/56,523
  6. Step 6: Final answer
    x = 22,455.43

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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.