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Finding the Fourth Proportional to 72,807.73, 100,505.67 and 48,948.24

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Solution

The fourth proportional to 72,807.73, 100,505.67 and 48,948.24 is: 67,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.73 : 100,505.67 = 48,948.24 : x
  2. Step 2: Convert to fraction form
    72,807.73/100,505.67 = 48,948.24/x
  3. Step 3: Cross multiply
    72,807.73x = 100,505.67 × 48,948.24
  4. Step 4: Simplify right side
    72,807.73x = 4,919,575,656.52
  5. Step 5: Solve for x
    x = 4,919,575,656.52/72,807.73
  6. Step 6: Final answer
    x = 67,569.41

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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.