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Finding the Fourth Proportional to 54,943, 82,407.14 and 15,503.28

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Solution

The fourth proportional to 54,943, 82,407.14 and 15,503.28 is: 23,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943 : 82,407.14 = 15,503.28 : x
  2. Step 2: Convert to fraction form
    54,943/82,407.14 = 15,503.28/x
  3. Step 3: Cross multiply
    54,943x = 82,407.14 × 15,503.28
  4. Step 4: Simplify right side
    54,943x = 1,277,580,965.42
  5. Step 5: Solve for x
    x = 1,277,580,965.42/54,943
  6. Step 6: Final answer
    x = 23,252.84

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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.