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Finding the Fourth Proportional to 38,176.50, 52,683.60 and 21,409.50

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Solution

The fourth proportional to 38,176.50, 52,683.60 and 21,409.50 is: 29,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.50 : 52,683.60 = 21,409.50 : x
  2. Step 2: Convert to fraction form
    38,176.50/52,683.60 = 21,409.50/x
  3. Step 3: Cross multiply
    38,176.50x = 52,683.60 × 21,409.50
  4. Step 4: Simplify right side
    38,176.50x = 1,127,929,534.20
  5. Step 5: Solve for x
    x = 1,127,929,534.20/38,176.50
  6. Step 6: Final answer
    x = 29,545.13

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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.