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Finding the Fourth Proportional to 30,774.62, 42,468.46 and 17,345.90

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Solution

The fourth proportional to 30,774.62, 42,468.46 and 17,345.90 is: 23,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.62 : 42,468.46 = 17,345.90 : x
  2. Step 2: Convert to fraction form
    30,774.62/42,468.46 = 17,345.90/x
  3. Step 3: Cross multiply
    30,774.62x = 42,468.46 × 17,345.90
  4. Step 4: Simplify right side
    30,774.62x = 736,653,404.61
  5. Step 5: Solve for x
    x = 736,653,404.61/30,774.62
  6. Step 6: Final answer
    x = 23,937.05

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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.