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Finding the Fourth Proportional to 50,582.30, 75,907.31 and 21,000.16

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Solution

The fourth proportional to 50,582.30, 75,907.31 and 21,000.16 is: 31,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.30 : 75,907.31 = 21,000.16 : x
  2. Step 2: Convert to fraction form
    50,582.30/75,907.31 = 21,000.16/x
  3. Step 3: Cross multiply
    50,582.30x = 75,907.31 × 21,000.16
  4. Step 4: Simplify right side
    50,582.30x = 1,594,065,655.17
  5. Step 5: Solve for x
    x = 1,594,065,655.17/50,582.30
  6. Step 6: Final answer
    x = 31,514.30

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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.