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Finding the Fourth Proportional to 56,947.96, 85,362.50 and 19,497

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Solution

The fourth proportional to 56,947.96, 85,362.50 and 19,497 is: 29,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,947.96 : 85,362.50 = 19,497 : x
  2. Step 2: Convert to fraction form
    56,947.96/85,362.50 = 19,497/x
  3. Step 3: Cross multiply
    56,947.96x = 85,362.50 × 19,497
  4. Step 4: Simplify right side
    56,947.96x = 1,664,312,662.50
  5. Step 5: Solve for x
    x = 1,664,312,662.50/56,947.96
  6. Step 6: Final answer
    x = 29,225.15

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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.