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Finding the Fourth Proportional to 30,948.91, 42,710.01 and 16,801.75

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Solution

The fourth proportional to 30,948.91, 42,710.01 and 16,801.75 is: 23,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.91 : 42,710.01 = 16,801.75 : x
  2. Step 2: Convert to fraction form
    30,948.91/42,710.01 = 16,801.75/x
  3. Step 3: Cross multiply
    30,948.91x = 42,710.01 × 16,801.75
  4. Step 4: Simplify right side
    30,948.91x = 717,602,910.52
  5. Step 5: Solve for x
    x = 717,602,910.52/30,948.91
  6. Step 6: Final answer
    x = 23,186.69

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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.