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Finding the Fourth Proportional to 31,085.16, 42,897.54 and 16,938.02

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Solution

The fourth proportional to 31,085.16, 42,897.54 and 16,938.02 is: 23,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.16 : 42,897.54 = 16,938.02 : x
  2. Step 2: Convert to fraction form
    31,085.16/42,897.54 = 16,938.02/x
  3. Step 3: Cross multiply
    31,085.16x = 42,897.54 × 16,938.02
  4. Step 4: Simplify right side
    31,085.16x = 726,599,175.98
  5. Step 5: Solve for x
    x = 726,599,175.98/31,085.16
  6. Step 6: Final answer
    x = 23,374.47

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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.