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Finding the Fourth Proportional to 72,817.79, 100,490.42 and 40,987.82

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Solution

The fourth proportional to 72,817.79, 100,490.42 and 40,987.82 is: 56,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,817.79 : 100,490.42 = 40,987.82 : x
  2. Step 2: Convert to fraction form
    72,817.79/100,490.42 = 40,987.82/x
  3. Step 3: Cross multiply
    72,817.79x = 100,490.42 × 40,987.82
  4. Step 4: Simplify right side
    72,817.79x = 4,118,883,600.38
  5. Step 5: Solve for x
    x = 4,118,883,600.38/72,817.79
  6. Step 6: Final answer
    x = 56,564.25

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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.