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Finding the Fourth Proportional to 32,714.28, 49,074.59 and 12,988.42

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Solution

The fourth proportional to 32,714.28, 49,074.59 and 12,988.42 is: 19,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.28 : 49,074.59 = 12,988.42 : x
  2. Step 2: Convert to fraction form
    32,714.28/49,074.59 = 12,988.42/x
  3. Step 3: Cross multiply
    32,714.28x = 49,074.59 × 12,988.42
  4. Step 4: Simplify right side
    32,714.28x = 637,401,296.03
  5. Step 5: Solve for x
    x = 637,401,296.03/32,714.28
  6. Step 6: Final answer
    x = 19,483.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.