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Finding the Fourth Proportional to 32,931.12, 45,448.74 and 18,786

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Solution

The fourth proportional to 32,931.12, 45,448.74 and 18,786 is: 25,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.12 : 45,448.74 = 18,786 : x
  2. Step 2: Convert to fraction form
    32,931.12/45,448.74 = 18,786/x
  3. Step 3: Cross multiply
    32,931.12x = 45,448.74 × 18,786
  4. Step 4: Simplify right side
    32,931.12x = 853,800,029.64
  5. Step 5: Solve for x
    x = 853,800,029.64/32,931.12
  6. Step 6: Final answer
    x = 25,926.84

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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.