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Finding the Fourth Proportional to 40,938.48, 56,491.08 and 23,033.08

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Solution

The fourth proportional to 40,938.48, 56,491.08 and 23,033.08 is: 31,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938.48 : 56,491.08 = 23,033.08 : x
  2. Step 2: Convert to fraction form
    40,938.48/56,491.08 = 23,033.08/x
  3. Step 3: Cross multiply
    40,938.48x = 56,491.08 × 23,033.08
  4. Step 4: Simplify right side
    40,938.48x = 1,301,163,564.93
  5. Step 5: Solve for x
    x = 1,301,163,564.93/40,938.48
  6. Step 6: Final answer
    x = 31,783.39

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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.