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Finding the Fourth Proportional to 29,137.89, 43,707.75 and 8,078.13

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Solution

The fourth proportional to 29,137.89, 43,707.75 and 8,078.13 is: 12,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.89 : 43,707.75 = 8,078.13 : x
  2. Step 2: Convert to fraction form
    29,137.89/43,707.75 = 8,078.13/x
  3. Step 3: Cross multiply
    29,137.89x = 43,707.75 × 8,078.13
  4. Step 4: Simplify right side
    29,137.89x = 353,076,886.51
  5. Step 5: Solve for x
    x = 353,076,886.51/29,137.89
  6. Step 6: Final answer
    x = 12,117.45

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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.