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Finding the Fourth Proportional to 30,904.48, 46,356.24 and 12,436

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Solution

The fourth proportional to 30,904.48, 46,356.24 and 12,436 is: 18,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.48 : 46,356.24 = 12,436 : x
  2. Step 2: Convert to fraction form
    30,904.48/46,356.24 = 12,436/x
  3. Step 3: Cross multiply
    30,904.48x = 46,356.24 × 12,436
  4. Step 4: Simplify right side
    30,904.48x = 576,486,200.64
  5. Step 5: Solve for x
    x = 576,486,200.64/30,904.48
  6. Step 6: Final answer
    x = 18,653.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.