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Finding the Fourth Proportional to 56,464.48, 77,920.45 and 30,970.33

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Solution

The fourth proportional to 56,464.48, 77,920.45 and 30,970.33 is: 42,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464.48 : 77,920.45 = 30,970.33 : x
  2. Step 2: Convert to fraction form
    56,464.48/77,920.45 = 30,970.33/x
  3. Step 3: Cross multiply
    56,464.48x = 77,920.45 × 30,970.33
  4. Step 4: Simplify right side
    56,464.48x = 2,413,222,050.25
  5. Step 5: Solve for x
    x = 2,413,222,050.25/56,464.48
  6. Step 6: Final answer
    x = 42,738.76

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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.