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Finding the Fourth Proportional to 40,946.48, 56,503.77 and 23,040.42

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Solution

The fourth proportional to 40,946.48, 56,503.77 and 23,040.42 is: 31,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,946.48 : 56,503.77 = 23,040.42 : x
  2. Step 2: Convert to fraction form
    40,946.48/56,503.77 = 23,040.42/x
  3. Step 3: Cross multiply
    40,946.48x = 56,503.77 × 23,040.42
  4. Step 4: Simplify right side
    40,946.48x = 1,301,870,592.38
  5. Step 5: Solve for x
    x = 1,301,870,592.38/40,946.48
  6. Step 6: Final answer
    x = 31,794.45

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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.