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Finding the Fourth Proportional to 72,807.66, 100,473.48 and 40,976.46

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Solution

The fourth proportional to 72,807.66, 100,473.48 and 40,976.46 is: 56,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.66 : 100,473.48 = 40,976.46 : x
  2. Step 2: Convert to fraction form
    72,807.66/100,473.48 = 40,976.46/x
  3. Step 3: Cross multiply
    72,807.66x = 100,473.48 × 40,976.46
  4. Step 4: Simplify right side
    72,807.66x = 4,117,047,534.28
  5. Step 5: Solve for x
    x = 4,117,047,534.28/72,807.66
  6. Step 6: Final answer
    x = 56,546.90

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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.