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Finding the Fourth Proportional to 56,816.32, 78,409.20 and 31,666

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Solution

The fourth proportional to 56,816.32, 78,409.20 and 31,666 is: 43,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,816.32 : 78,409.20 = 31,666 : x
  2. Step 2: Convert to fraction form
    56,816.32/78,409.20 = 31,666/x
  3. Step 3: Cross multiply
    56,816.32x = 78,409.20 × 31,666
  4. Step 4: Simplify right side
    56,816.32x = 2,482,905,727.20
  5. Step 5: Solve for x
    x = 2,482,905,727.20/56,816.32
  6. Step 6: Final answer
    x = 43,700.57

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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.