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Finding the Fourth Proportional to 32,981.66, 45,514.51 and 17,874.16

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Solution

The fourth proportional to 32,981.66, 45,514.51 and 17,874.16 is: 24,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.66 : 45,514.51 = 17,874.16 : x
  2. Step 2: Convert to fraction form
    32,981.66/45,514.51 = 17,874.16/x
  3. Step 3: Cross multiply
    32,981.66x = 45,514.51 × 17,874.16
  4. Step 4: Simplify right side
    32,981.66x = 813,533,475.59
  5. Step 5: Solve for x
    x = 813,533,475.59/32,981.66
  6. Step 6: Final answer
    x = 24,666.24

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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.