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Finding the Fourth Proportional to 39,538.63, 54,482.52 and 28,184.00

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Solution

The fourth proportional to 39,538.63, 54,482.52 and 28,184.00 is: 38,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.63 : 54,482.52 = 28,184.00 : x
  2. Step 2: Convert to fraction form
    39,538.63/54,482.52 = 28,184.00/x
  3. Step 3: Cross multiply
    39,538.63x = 54,482.52 × 28,184.00
  4. Step 4: Simplify right side
    39,538.63x = 1,535,535,483.42
  5. Step 5: Solve for x
    x = 1,535,535,483.42/39,538.63
  6. Step 6: Final answer
    x = 38,836.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.