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Finding the Fourth Proportional to 75,245.16, 103,848.89 and 46,573.97

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Solution

The fourth proportional to 75,245.16, 103,848.89 and 46,573.97 is: 64,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,245.16 : 103,848.89 = 46,573.97 : x
  2. Step 2: Convert to fraction form
    75,245.16/103,848.89 = 46,573.97/x
  3. Step 3: Cross multiply
    75,245.16x = 103,848.89 × 46,573.97
  4. Step 4: Simplify right side
    75,245.16x = 4,836,655,376.12
  5. Step 5: Solve for x
    x = 4,836,655,376.12/75,245.16
  6. Step 6: Final answer
    x = 64,278.62

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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.