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Finding the Fourth Proportional to 31,180.99, 43,024.82 and 17,752.51

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Solution

The fourth proportional to 31,180.99, 43,024.82 and 17,752.51 is: 24,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.99 : 43,024.82 = 17,752.51 : x
  2. Step 2: Convert to fraction form
    31,180.99/43,024.82 = 17,752.51/x
  3. Step 3: Cross multiply
    31,180.99x = 43,024.82 × 17,752.51
  4. Step 4: Simplify right side
    31,180.99x = 763,798,547.30
  5. Step 5: Solve for x
    x = 763,798,547.30/31,180.99
  6. Step 6: Final answer
    x = 24,495.65

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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.