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Finding the Fourth Proportional to 56,259, 77,630.70 and 31,105.08

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Solution

The fourth proportional to 56,259, 77,630.70 and 31,105.08 is: 42,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,259 : 77,630.70 = 31,105.08 : x
  2. Step 2: Convert to fraction form
    56,259/77,630.70 = 31,105.08/x
  3. Step 3: Cross multiply
    56,259x = 77,630.70 × 31,105.08
  4. Step 4: Simplify right side
    56,259x = 2,414,709,133.96
  5. Step 5: Solve for x
    x = 2,414,709,133.96/56,259
  6. Step 6: Final answer
    x = 42,921.29

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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.