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Finding the Fourth Proportional to 75,478.38, 104,133.61 and 45,273.48

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Solution

The fourth proportional to 75,478.38, 104,133.61 and 45,273.48 is: 62,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.38 : 104,133.61 = 45,273.48 : x
  2. Step 2: Convert to fraction form
    75,478.38/104,133.61 = 45,273.48/x
  3. Step 3: Cross multiply
    75,478.38x = 104,133.61 × 45,273.48
  4. Step 4: Simplify right side
    75,478.38x = 4,714,490,909.66
  5. Step 5: Solve for x
    x = 4,714,490,909.66/75,478.38
  6. Step 6: Final answer
    x = 62,461.47

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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.