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Finding the Fourth Proportional to 31,032.76, 42,825.08 and 16,885.84

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Solution

The fourth proportional to 31,032.76, 42,825.08 and 16,885.84 is: 23,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.76 : 42,825.08 = 16,885.84 : x
  2. Step 2: Convert to fraction form
    31,032.76/42,825.08 = 16,885.84/x
  3. Step 3: Cross multiply
    31,032.76x = 42,825.08 × 16,885.84
  4. Step 4: Simplify right side
    31,032.76x = 723,137,448.87
  5. Step 5: Solve for x
    x = 723,137,448.87/31,032.76
  6. Step 6: Final answer
    x = 23,302.39

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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.