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Finding the Fourth Proportional to 51,856.86, 71,541.18 and 38,461.08

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Solution

The fourth proportional to 51,856.86, 71,541.18 and 38,461.08 is: 53,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.86 : 71,541.18 = 38,461.08 : x
  2. Step 2: Convert to fraction form
    51,856.86/71,541.18 = 38,461.08/x
  3. Step 3: Cross multiply
    51,856.86x = 71,541.18 × 38,461.08
  4. Step 4: Simplify right side
    51,856.86x = 2,751,551,047.27
  5. Step 5: Solve for x
    x = 2,751,551,047.27/51,856.86
  6. Step 6: Final answer
    x = 53,060.50

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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.