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Finding the Fourth Proportional to 56,074.09, 77,382.02 and 30,580.40

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Solution

The fourth proportional to 56,074.09, 77,382.02 and 30,580.40 is: 42,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074.09 : 77,382.02 = 30,580.40 : x
  2. Step 2: Convert to fraction form
    56,074.09/77,382.02 = 30,580.40/x
  3. Step 3: Cross multiply
    56,074.09x = 77,382.02 × 30,580.40
  4. Step 4: Simplify right side
    56,074.09x = 2,366,372,737.50
  5. Step 5: Solve for x
    x = 2,366,372,737.50/56,074.09
  6. Step 6: Final answer
    x = 42,200.82

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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.