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Finding the Fourth Proportional to 56,288, 77,670.72 and 31,134.08

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Solution

The fourth proportional to 56,288, 77,670.72 and 31,134.08 is: 42,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,288 : 77,670.72 = 31,134.08 : x
  2. Step 2: Convert to fraction form
    56,288/77,670.72 = 31,134.08/x
  3. Step 3: Cross multiply
    56,288x = 77,670.72 × 31,134.08
  4. Step 4: Simplify right side
    56,288x = 2,418,206,410.14
  5. Step 5: Solve for x
    x = 2,418,206,410.14/56,288
  6. Step 6: Final answer
    x = 42,961.31

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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.