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Finding the Fourth Proportional to 31,036.84, 42,830.76 and 16,889.68

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Solution

The fourth proportional to 31,036.84, 42,830.76 and 16,889.68 is: 23,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.84 : 42,830.76 = 16,889.68 : x
  2. Step 2: Convert to fraction form
    31,036.84/42,830.76 = 16,889.68/x
  3. Step 3: Cross multiply
    31,036.84x = 42,830.76 × 16,889.68
  4. Step 4: Simplify right side
    31,036.84x = 723,397,830.56
  5. Step 5: Solve for x
    x = 723,397,830.56/31,036.84
  6. Step 6: Final answer
    x = 23,307.72

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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.