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Finding the Fourth Proportional to 31,000.14, 42,780.02 and 16,852.68

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Solution

The fourth proportional to 31,000.14, 42,780.02 and 16,852.68 is: 23,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.14 : 42,780.02 = 16,852.68 : x
  2. Step 2: Convert to fraction form
    31,000.14/42,780.02 = 16,852.68/x
  3. Step 3: Cross multiply
    31,000.14x = 42,780.02 × 16,852.68
  4. Step 4: Simplify right side
    31,000.14x = 720,957,903.19
  5. Step 5: Solve for x
    x = 720,957,903.19/31,000.14
  6. Step 6: Final answer
    x = 23,256.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.