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Finding the Fourth Proportional to 29,681.94, 44,541 and 15,451.86

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Solution

The fourth proportional to 29,681.94, 44,541 and 15,451.86 is: 23,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.94 : 44,541 = 15,451.86 : x
  2. Step 2: Convert to fraction form
    29,681.94/44,541 = 15,451.86/x
  3. Step 3: Cross multiply
    29,681.94x = 44,541 × 15,451.86
  4. Step 4: Simplify right side
    29,681.94x = 688,241,296.26
  5. Step 5: Solve for x
    x = 688,241,296.26/29,681.94
  6. Step 6: Final answer
    x = 23,187.21

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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.