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Finding the Fourth Proportional to 46,523.64, 69,774.72 and 13,242.90

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Solution

The fourth proportional to 46,523.64, 69,774.72 and 13,242.90 is: 19,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523.64 : 69,774.72 = 13,242.90 : x
  2. Step 2: Convert to fraction form
    46,523.64/69,774.72 = 13,242.90/x
  3. Step 3: Cross multiply
    46,523.64x = 69,774.72 × 13,242.90
  4. Step 4: Simplify right side
    46,523.64x = 924,019,639.49
  5. Step 5: Solve for x
    x = 924,019,639.49/46,523.64
  6. Step 6: Final answer
    x = 19,861.29

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