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Finding the Fourth Proportional to 105,680.55, 145,848.36 and 57,943

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Solution

The fourth proportional to 105,680.55, 145,848.36 and 57,943 is: 79,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,680.55 : 145,848.36 = 57,943 : x
  2. Step 2: Convert to fraction form
    105,680.55/145,848.36 = 57,943/x
  3. Step 3: Cross multiply
    105,680.55x = 145,848.36 × 57,943
  4. Step 4: Simplify right side
    105,680.55x = 8,450,891,523.48
  5. Step 5: Solve for x
    x = 8,450,891,523.48/105,680.55
  6. Step 6: Final answer
    x = 79,966.38

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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.