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Finding the Fourth Proportional to 38,597.04, 53,265.48 and 21,830

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Solution

The fourth proportional to 38,597.04, 53,265.48 and 21,830 is: 30,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.04 : 53,265.48 = 21,830 : x
  2. Step 2: Convert to fraction form
    38,597.04/53,265.48 = 21,830/x
  3. Step 3: Cross multiply
    38,597.04x = 53,265.48 × 21,830
  4. Step 4: Simplify right side
    38,597.04x = 1,162,785,428.40
  5. Step 5: Solve for x
    x = 1,162,785,428.40/38,597.04
  6. Step 6: Final answer
    x = 30,126.29

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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.