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Finding the Fourth Proportional to 74,557.50, 102,889.35 and 40,566

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Solution

The fourth proportional to 74,557.50, 102,889.35 and 40,566 is: 55,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,557.50 : 102,889.35 = 40,566 : x
  2. Step 2: Convert to fraction form
    74,557.50/102,889.35 = 40,566/x
  3. Step 3: Cross multiply
    74,557.50x = 102,889.35 × 40,566
  4. Step 4: Simplify right side
    74,557.50x = 4,173,809,372.10
  5. Step 5: Solve for x
    x = 4,173,809,372.10/74,557.50
  6. Step 6: Final answer
    x = 55,981.08

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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.