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Finding the Fourth Proportional to 47,688.63, 65,818.46 and 27,541.89

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Solution

The fourth proportional to 47,688.63, 65,818.46 and 27,541.89 is: 38,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,688.63 : 65,818.46 = 27,541.89 : x
  2. Step 2: Convert to fraction form
    47,688.63/65,818.46 = 27,541.89/x
  3. Step 3: Cross multiply
    47,688.63x = 65,818.46 × 27,541.89
  4. Step 4: Simplify right side
    47,688.63x = 1,812,764,647.58
  5. Step 5: Solve for x
    x = 1,812,764,647.58/47,688.63
  6. Step 6: Final answer
    x = 38,012.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.