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Finding the Fourth Proportional to 32,714.35, 49,070.48 and 13,749.03

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Solution

The fourth proportional to 32,714.35, 49,070.48 and 13,749.03 is: 20,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.35 : 49,070.48 = 13,749.03 : x
  2. Step 2: Convert to fraction form
    32,714.35/49,070.48 = 13,749.03/x
  3. Step 3: Cross multiply
    32,714.35x = 49,070.48 × 13,749.03
  4. Step 4: Simplify right side
    32,714.35x = 674,671,432.89
  5. Step 5: Solve for x
    x = 674,671,432.89/32,714.35
  6. Step 6: Final answer
    x = 20,623.11

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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.