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Finding the Fourth Proportional to 38,433.84, 53,036.64 and 21,665.76

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Solution

The fourth proportional to 38,433.84, 53,036.64 and 21,665.76 is: 29,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.84 : 53,036.64 = 21,665.76 : x
  2. Step 2: Convert to fraction form
    38,433.84/53,036.64 = 21,665.76/x
  3. Step 3: Cross multiply
    38,433.84x = 53,036.64 × 21,665.76
  4. Step 4: Simplify right side
    38,433.84x = 1,149,079,113.45
  5. Step 5: Solve for x
    x = 1,149,079,113.45/38,433.84
  6. Step 6: Final answer
    x = 29,897.59

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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.