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Finding the Fourth Proportional to 56,083, 77,396.16 and 30,934.12

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Solution

The fourth proportional to 56,083, 77,396.16 and 30,934.12 is: 42,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,083 : 77,396.16 = 30,934.12 : x
  2. Step 2: Convert to fraction form
    56,083/77,396.16 = 30,934.12/x
  3. Step 3: Cross multiply
    56,083x = 77,396.16 × 30,934.12
  4. Step 4: Simplify right side
    56,083x = 2,394,182,100.98
  5. Step 5: Solve for x
    x = 2,394,182,100.98/56,083
  6. Step 6: Final answer
    x = 42,689.98

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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.