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Finding the Fourth Proportional to 54,700.50, 75,486.72 and 29,550

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Solution

The fourth proportional to 54,700.50, 75,486.72 and 29,550 is: 40,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.50 : 75,486.72 = 29,550 : x
  2. Step 2: Convert to fraction form
    54,700.50/75,486.72 = 29,550/x
  3. Step 3: Cross multiply
    54,700.50x = 75,486.72 × 29,550
  4. Step 4: Simplify right side
    54,700.50x = 2,230,632,576
  5. Step 5: Solve for x
    x = 2,230,632,576/54,700.50
  6. Step 6: Final answer
    x = 40,779.02

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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.