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Finding the Fourth Proportional to 65,638.32, 90,703.50 and 53,697.30

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Solution

The fourth proportional to 65,638.32, 90,703.50 and 53,697.30 is: 74,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,638.32 : 90,703.50 = 53,697.30 : x
  2. Step 2: Convert to fraction form
    65,638.32/90,703.50 = 53,697.30/x
  3. Step 3: Cross multiply
    65,638.32x = 90,703.50 × 53,697.30
  4. Step 4: Simplify right side
    65,638.32x = 4,870,533,050.55
  5. Step 5: Solve for x
    x = 4,870,533,050.55/65,638.32
  6. Step 6: Final answer
    x = 74,202.59

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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.