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Finding the Fourth Proportional to 31,000.32, 42,782.72 and 17,752.32

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Solution

The fourth proportional to 31,000.32, 42,782.72 and 17,752.32 is: 24,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.32 : 42,782.72 = 17,752.32 : x
  2. Step 2: Convert to fraction form
    31,000.32/42,782.72 = 17,752.32/x
  3. Step 3: Cross multiply
    31,000.32x = 42,782.72 × 17,752.32
  4. Step 4: Simplify right side
    31,000.32x = 759,492,535.91
  5. Step 5: Solve for x
    x = 759,492,535.91/31,000.32
  6. Step 6: Final answer
    x = 24,499.51

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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.