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Finding the Fourth Proportional to 31,037.01, 42,830.80 and 16,889.87

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Solution

The fourth proportional to 31,037.01, 42,830.80 and 16,889.87 is: 23,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037.01 : 42,830.80 = 16,889.87 : x
  2. Step 2: Convert to fraction form
    31,037.01/42,830.80 = 16,889.87/x
  3. Step 3: Cross multiply
    31,037.01x = 42,830.80 × 16,889.87
  4. Step 4: Simplify right side
    31,037.01x = 723,406,644.00
  5. Step 5: Solve for x
    x = 723,406,644.00/31,037.01
  6. Step 6: Final answer
    x = 23,307.87

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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.