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Finding the Fourth Proportional to 56,378.50, 84,580.71 and 19,442.50

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Solution

The fourth proportional to 56,378.50, 84,580.71 and 19,442.50 is: 29,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378.50 : 84,580.71 = 19,442.50 : x
  2. Step 2: Convert to fraction form
    56,378.50/84,580.71 = 19,442.50/x
  3. Step 3: Cross multiply
    56,378.50x = 84,580.71 × 19,442.50
  4. Step 4: Simplify right side
    56,378.50x = 1,644,460,454.18
  5. Step 5: Solve for x
    x = 1,644,460,454.18/56,378.50
  6. Step 6: Final answer
    x = 29,168.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.