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Finding the Fourth Proportional to 54,302.84, 74,939.94 and 30,428.63

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Solution

The fourth proportional to 54,302.84, 74,939.94 and 30,428.63 is: 41,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.84 : 74,939.94 = 30,428.63 : x
  2. Step 2: Convert to fraction form
    54,302.84/74,939.94 = 30,428.63/x
  3. Step 3: Cross multiply
    54,302.84x = 74,939.94 × 30,428.63
  4. Step 4: Simplify right side
    54,302.84x = 2,280,319,706.48
  5. Step 5: Solve for x
    x = 2,280,319,706.48/54,302.84
  6. Step 6: Final answer
    x = 41,992.64

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1.5x scale

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.