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Finding the Fourth Proportional to 38,460.89, 53,076 and 21,693.89

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Solution

The fourth proportional to 38,460.89, 53,076 and 21,693.89 is: 29,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.89 : 53,076 = 21,693.89 : x
  2. Step 2: Convert to fraction form
    38,460.89/53,076 = 21,693.89/x
  3. Step 3: Cross multiply
    38,460.89x = 53,076 × 21,693.89
  4. Step 4: Simplify right side
    38,460.89x = 1,151,424,905.64
  5. Step 5: Solve for x
    x = 1,151,424,905.64/38,460.89
  6. Step 6: Final answer
    x = 29,937.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.