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Finding the Fourth Proportional to 35,442.84, 53,164.32 and 33,277.71

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Solution

The fourth proportional to 35,442.84, 53,164.32 and 33,277.71 is: 49,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442.84 : 53,164.32 = 33,277.71 : x
  2. Step 2: Convert to fraction form
    35,442.84/53,164.32 = 33,277.71/x
  3. Step 3: Cross multiply
    35,442.84x = 53,164.32 × 33,277.71
  4. Step 4: Simplify right side
    35,442.84x = 1,769,186,823.31
  5. Step 5: Solve for x
    x = 1,769,186,823.31/35,442.84
  6. Step 6: Final answer
    x = 49,916.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.