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Finding the Fourth Proportional to 47,683.34, 65,806.12 and 27,541.07

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Solution

The fourth proportional to 47,683.34, 65,806.12 and 27,541.07 is: 38,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683.34 : 65,806.12 = 27,541.07 : x
  2. Step 2: Convert to fraction form
    47,683.34/65,806.12 = 27,541.07/x
  3. Step 3: Cross multiply
    47,683.34x = 65,806.12 × 27,541.07
  4. Step 4: Simplify right side
    47,683.34x = 1,812,370,957.35
  5. Step 5: Solve for x
    x = 1,812,370,957.35/47,683.34
  6. Step 6: Final answer
    x = 38,008.47

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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.