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Finding the Fourth Proportional to 50,582.31, 75,907.32 and 21,000.15

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Solution

The fourth proportional to 50,582.31, 75,907.32 and 21,000.15 is: 31,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.31 : 75,907.32 = 21,000.15 : x
  2. Step 2: Convert to fraction form
    50,582.31/75,907.32 = 21,000.15/x
  3. Step 3: Cross multiply
    50,582.31x = 75,907.32 × 21,000.15
  4. Step 4: Simplify right side
    50,582.31x = 1,594,065,106.10
  5. Step 5: Solve for x
    x = 1,594,065,106.10/50,582.31
  6. Step 6: Final answer
    x = 31,514.28

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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.