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Finding the Fourth Proportional to 56,578.09, 78,078.29 and 31,084.98

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Solution

The fourth proportional to 56,578.09, 78,078.29 and 31,084.98 is: 42,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578.09 : 78,078.29 = 31,084.98 : x
  2. Step 2: Convert to fraction form
    56,578.09/78,078.29 = 31,084.98/x
  3. Step 3: Cross multiply
    56,578.09x = 78,078.29 × 31,084.98
  4. Step 4: Simplify right side
    56,578.09x = 2,427,061,832.09
  5. Step 5: Solve for x
    x = 2,427,061,832.09/56,578.09
  6. Step 6: Final answer
    x = 42,897.56

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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.