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Finding the Fourth Proportional to 65,188.80, 97,790.90 and 23,060.16

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Solution

The fourth proportional to 65,188.80, 97,790.90 and 23,060.16 is: 34,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.80 : 97,790.90 = 23,060.16 : x
  2. Step 2: Convert to fraction form
    65,188.80/97,790.90 = 23,060.16/x
  3. Step 3: Cross multiply
    65,188.80x = 97,790.90 × 23,060.16
  4. Step 4: Simplify right side
    65,188.80x = 2,255,073,685.24
  5. Step 5: Solve for x
    x = 2,255,073,685.24/65,188.80
  6. Step 6: Final answer
    x = 34,592.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.