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Finding the Fourth Proportional to 31,036.70, 42,830.88 and 16,889.50

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Solution

The fourth proportional to 31,036.70, 42,830.88 and 16,889.50 is: 23,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.70 : 42,830.88 = 16,889.50 : x
  2. Step 2: Convert to fraction form
    31,036.70/42,830.88 = 16,889.50/x
  3. Step 3: Cross multiply
    31,036.70x = 42,830.88 × 16,889.50
  4. Step 4: Simplify right side
    31,036.70x = 723,392,147.76
  5. Step 5: Solve for x
    x = 723,392,147.76/31,036.70
  6. Step 6: Final answer
    x = 23,307.64

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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.