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Finding the Fourth Proportional to 105,394.56, 145,441.47 and 57,646.86

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Solution

The fourth proportional to 105,394.56, 145,441.47 and 57,646.86 is: 79,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,394.56 : 145,441.47 = 57,646.86 : x
  2. Step 2: Convert to fraction form
    105,394.56/145,441.47 = 57,646.86/x
  3. Step 3: Cross multiply
    105,394.56x = 145,441.47 × 57,646.86
  4. Step 4: Simplify right side
    105,394.56x = 8,384,244,059.28
  5. Step 5: Solve for x
    x = 8,384,244,059.28/105,394.56
  6. Step 6: Final answer
    x = 79,551.01

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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.