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Finding the Fourth Proportional to 53,903.72, 74,384.78 and 30,033

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Solution

The fourth proportional to 53,903.72, 74,384.78 and 30,033 is: 41,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.72 : 74,384.78 = 30,033 : x
  2. Step 2: Convert to fraction form
    53,903.72/74,384.78 = 30,033/x
  3. Step 3: Cross multiply
    53,903.72x = 74,384.78 × 30,033
  4. Step 4: Simplify right side
    53,903.72x = 2,233,998,097.74
  5. Step 5: Solve for x
    x = 2,233,998,097.74/53,903.72
  6. Step 6: Final answer
    x = 41,444.23

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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.