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Finding the Fourth Proportional to 38,708.50, 53,417.37 and 21,941.50

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Solution

The fourth proportional to 38,708.50, 53,417.37 and 21,941.50 is: 30,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.50 : 53,417.37 = 21,941.50 : x
  2. Step 2: Convert to fraction form
    38,708.50/53,417.37 = 21,941.50/x
  3. Step 3: Cross multiply
    38,708.50x = 53,417.37 × 21,941.50
  4. Step 4: Simplify right side
    38,708.50x = 1,172,057,223.86
  5. Step 5: Solve for x
    x = 1,172,057,223.86/38,708.50
  6. Step 6: Final answer
    x = 30,279.07

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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.