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Finding the Fourth Proportional to 31,096.98, 42,953.49 and 21,707.46

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Solution

The fourth proportional to 31,096.98, 42,953.49 and 21,707.46 is: 29,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.98 : 42,953.49 = 21,707.46 : x
  2. Step 2: Convert to fraction form
    31,096.98/42,953.49 = 21,707.46/x
  3. Step 3: Cross multiply
    31,096.98x = 42,953.49 × 21,707.46
  4. Step 4: Simplify right side
    31,096.98x = 932,411,166.04
  5. Step 5: Solve for x
    x = 932,411,166.04/31,096.98
  6. Step 6: Final answer
    x = 29,983.98

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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.