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Finding the Fourth Proportional to 50,981.64, 76,475.70 and 13,541.10

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Solution

The fourth proportional to 50,981.64, 76,475.70 and 13,541.10 is: 20,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,981.64 : 76,475.70 = 13,541.10 : x
  2. Step 2: Convert to fraction form
    50,981.64/76,475.70 = 13,541.10/x
  3. Step 3: Cross multiply
    50,981.64x = 76,475.70 × 13,541.10
  4. Step 4: Simplify right side
    50,981.64x = 1,035,565,101.27
  5. Step 5: Solve for x
    x = 1,035,565,101.27/50,981.64
  6. Step 6: Final answer
    x = 20,312.51

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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.