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Finding the Fourth Proportional to 38,574.52, 57,832.62 and 30,779.08

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Solution

The fourth proportional to 38,574.52, 57,832.62 and 30,779.08 is: 46,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.52 : 57,832.62 = 30,779.08 : x
  2. Step 2: Convert to fraction form
    38,574.52/57,832.62 = 30,779.08/x
  3. Step 3: Cross multiply
    38,574.52x = 57,832.62 × 30,779.08
  4. Step 4: Simplify right side
    38,574.52x = 1,780,034,837.59
  5. Step 5: Solve for x
    x = 1,780,034,837.59/38,574.52
  6. Step 6: Final answer
    x = 46,145.35

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Why These Related Problems?

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