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Finding the Fourth Proportional to 53,894.36, 74,374.08 and 30,020.78

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Solution

The fourth proportional to 53,894.36, 74,374.08 and 30,020.78 is: 41,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894.36 : 74,374.08 = 30,020.78 : x
  2. Step 2: Convert to fraction form
    53,894.36/74,374.08 = 30,020.78/x
  3. Step 3: Cross multiply
    53,894.36x = 74,374.08 × 30,020.78
  4. Step 4: Simplify right side
    53,894.36x = 2,232,767,893.38
  5. Step 5: Solve for x
    x = 2,232,767,893.38/53,894.36
  6. Step 6: Final answer
    x = 41,428.60

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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.