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Finding the Fourth Proportional to 56,215.50, 77,577.60 and 31,065

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Solution

The fourth proportional to 56,215.50, 77,577.60 and 31,065 is: 42,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,215.50 : 77,577.60 = 31,065 : x
  2. Step 2: Convert to fraction form
    56,215.50/77,577.60 = 31,065/x
  3. Step 3: Cross multiply
    56,215.50x = 77,577.60 × 31,065
  4. Step 4: Simplify right side
    56,215.50x = 2,409,948,144
  5. Step 5: Solve for x
    x = 2,409,948,144/56,215.50
  6. Step 6: Final answer
    x = 42,869.82

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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.