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Finding the Fourth Proportional to 32,950.17, 45,482.32 and 20,029.40

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Solution

The fourth proportional to 32,950.17, 45,482.32 and 20,029.40 is: 27,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.17 : 45,482.32 = 20,029.40 : x
  2. Step 2: Convert to fraction form
    32,950.17/45,482.32 = 20,029.40/x
  3. Step 3: Cross multiply
    32,950.17x = 45,482.32 × 20,029.40
  4. Step 4: Simplify right side
    32,950.17x = 910,983,302.72
  5. Step 5: Solve for x
    x = 910,983,302.72/32,950.17
  6. Step 6: Final answer
    x = 27,647.31

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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.