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Finding the Fourth Proportional to 32,714.01, 49,031.46 and 14,920.34

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Solution

The fourth proportional to 32,714.01, 49,031.46 and 14,920.34 is: 22,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.01 : 49,031.46 = 14,920.34 : x
  2. Step 2: Convert to fraction form
    32,714.01/49,031.46 = 14,920.34/x
  3. Step 3: Cross multiply
    32,714.01x = 49,031.46 × 14,920.34
  4. Step 4: Simplify right side
    32,714.01x = 731,565,808.74
  5. Step 5: Solve for x
    x = 731,565,808.74/32,714.01
  6. Step 6: Final answer
    x = 22,362.46

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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.