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Finding the Fourth Proportional to 56,146.50, 77,482.32 and 30,996

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Solution

The fourth proportional to 56,146.50, 77,482.32 and 30,996 is: 42,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,146.50 : 77,482.32 = 30,996 : x
  2. Step 2: Convert to fraction form
    56,146.50/77,482.32 = 30,996/x
  3. Step 3: Cross multiply
    56,146.50x = 77,482.32 × 30,996
  4. Step 4: Simplify right side
    56,146.50x = 2,401,641,990.72
  5. Step 5: Solve for x
    x = 2,401,641,990.72/56,146.50
  6. Step 6: Final answer
    x = 42,774.56

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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.