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Finding the Fourth Proportional to 65,548.50, 90,457.02 and 35,740.50

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Solution

The fourth proportional to 65,548.50, 90,457.02 and 35,740.50 is: 49,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,548.50 : 90,457.02 = 35,740.50 : x
  2. Step 2: Convert to fraction form
    65,548.50/90,457.02 = 35,740.50/x
  3. Step 3: Cross multiply
    65,548.50x = 90,457.02 × 35,740.50
  4. Step 4: Simplify right side
    65,548.50x = 3,232,979,123.31
  5. Step 5: Solve for x
    x = 3,232,979,123.31/65,548.50
  6. Step 6: Final answer
    x = 49,321.94

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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.