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Finding the Fourth Proportional to 56,329.56, 77,735.34 and 31,179

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Solution

The fourth proportional to 56,329.56, 77,735.34 and 31,179 is: 43,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,329.56 : 77,735.34 = 31,179 : x
  2. Step 2: Convert to fraction form
    56,329.56/77,735.34 = 31,179/x
  3. Step 3: Cross multiply
    56,329.56x = 77,735.34 × 31,179
  4. Step 4: Simplify right side
    56,329.56x = 2,423,710,165.86
  5. Step 5: Solve for x
    x = 2,423,710,165.86/56,329.56
  6. Step 6: Final answer
    x = 43,027.32

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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.