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Finding the Fourth Proportional to 56,435, 77,879.96 and 30,942.46

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Solution

The fourth proportional to 56,435, 77,879.96 and 30,942.46 is: 42,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,435 : 77,879.96 = 30,942.46 : x
  2. Step 2: Convert to fraction form
    56,435/77,879.96 = 30,942.46/x
  3. Step 3: Cross multiply
    56,435x = 77,879.96 × 30,942.46
  4. Step 4: Simplify right side
    56,435x = 2,409,797,547.10
  5. Step 5: Solve for x
    x = 2,409,797,547.10/56,435
  6. Step 6: Final answer
    x = 42,700.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.