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Finding the Fourth Proportional to 65,311.96, 97,974 and 23,187.90

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Solution

The fourth proportional to 65,311.96, 97,974 and 23,187.90 is: 34,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,311.96 : 97,974 = 23,187.90 : x
  2. Step 2: Convert to fraction form
    65,311.96/97,974 = 23,187.90/x
  3. Step 3: Cross multiply
    65,311.96x = 97,974 × 23,187.90
  4. Step 4: Simplify right side
    65,311.96x = 2,271,811,314.60
  5. Step 5: Solve for x
    x = 2,271,811,314.60/65,311.96
  6. Step 6: Final answer
    x = 34,784.00

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1.5x scale

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.