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Finding the Fourth Proportional to 65,549.50, 90,458.40 and 35,741.50

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Solution

The fourth proportional to 65,549.50, 90,458.40 and 35,741.50 is: 49,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,549.50 : 90,458.40 = 35,741.50 : x
  2. Step 2: Convert to fraction form
    65,549.50/90,458.40 = 35,741.50/x
  3. Step 3: Cross multiply
    65,549.50x = 90,458.40 × 35,741.50
  4. Step 4: Simplify right side
    65,549.50x = 3,233,118,903.60
  5. Step 5: Solve for x
    x = 3,233,118,903.60/65,549.50
  6. Step 6: Final answer
    x = 49,323.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.