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Finding the Fourth Proportional to 51,995.82, 78,007.56 and 16,457.82

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Solution

The fourth proportional to 51,995.82, 78,007.56 and 16,457.82 is: 24,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995.82 : 78,007.56 = 16,457.82 : x
  2. Step 2: Convert to fraction form
    51,995.82/78,007.56 = 16,457.82/x
  3. Step 3: Cross multiply
    51,995.82x = 78,007.56 × 16,457.82
  4. Step 4: Simplify right side
    51,995.82x = 1,283,834,381.12
  5. Step 5: Solve for x
    x = 1,283,834,381.12/51,995.82
  6. Step 6: Final answer
    x = 24,691.11

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1.5x scale

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.