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Finding the Fourth Proportional to 51,652, 77,490.96 and 14,716

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Solution

The fourth proportional to 51,652, 77,490.96 and 14,716 is: 22,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652 : 77,490.96 = 14,716 : x
  2. Step 2: Convert to fraction form
    51,652/77,490.96 = 14,716/x
  3. Step 3: Cross multiply
    51,652x = 77,490.96 × 14,716
  4. Step 4: Simplify right side
    51,652x = 1,140,356,967.36
  5. Step 5: Solve for x
    x = 1,140,356,967.36/51,652
  6. Step 6: Final answer
    x = 22,077.69

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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.