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Finding the Fourth Proportional to 38,677.91, 53,378.46 and 21,683.70

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Solution

The fourth proportional to 38,677.91, 53,378.46 and 21,683.70 is: 29,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677.91 : 53,378.46 = 21,683.70 : x
  2. Step 2: Convert to fraction form
    38,677.91/53,378.46 = 21,683.70/x
  3. Step 3: Cross multiply
    38,677.91x = 53,378.46 × 21,683.70
  4. Step 4: Simplify right side
    38,677.91x = 1,157,442,513.10
  5. Step 5: Solve for x
    x = 1,157,442,513.10/38,677.91
  6. Step 6: Final answer
    x = 29,925.16

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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.