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Finding the Fourth Proportional to 35,514.30, 49,010.02 and 19,381.74

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Solution

The fourth proportional to 35,514.30, 49,010.02 and 19,381.74 is: 26,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514.30 : 49,010.02 = 19,381.74 : x
  2. Step 2: Convert to fraction form
    35,514.30/49,010.02 = 19,381.74/x
  3. Step 3: Cross multiply
    35,514.30x = 49,010.02 × 19,381.74
  4. Step 4: Simplify right side
    35,514.30x = 949,899,465.03
  5. Step 5: Solve for x
    x = 949,899,465.03/35,514.30
  6. Step 6: Final answer
    x = 26,746.96

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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.