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Finding the Fourth Proportional to 32,419.80, 48,602.70 and 13,714.20

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Solution

The fourth proportional to 32,419.80, 48,602.70 and 13,714.20 is: 20,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.80 : 48,602.70 = 13,714.20 : x
  2. Step 2: Convert to fraction form
    32,419.80/48,602.70 = 13,714.20/x
  3. Step 3: Cross multiply
    32,419.80x = 48,602.70 × 13,714.20
  4. Step 4: Simplify right side
    32,419.80x = 666,547,148.34
  5. Step 5: Solve for x
    x = 666,547,148.34/32,419.80
  6. Step 6: Final answer
    x = 20,559.88

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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.