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Finding the Fourth Proportional to 51,606.63, 77,422.95 and 14,670.63

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Solution

The fourth proportional to 51,606.63, 77,422.95 and 14,670.63 is: 22,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.63 : 77,422.95 = 14,670.63 : x
  2. Step 2: Convert to fraction form
    51,606.63/77,422.95 = 14,670.63/x
  3. Step 3: Cross multiply
    51,606.63x = 77,422.95 × 14,670.63
  4. Step 4: Simplify right side
    51,606.63x = 1,135,843,029.17
  5. Step 5: Solve for x
    x = 1,135,843,029.17/51,606.63
  6. Step 6: Final answer
    x = 22,009.64

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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.