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Finding the Fourth Proportional to 32,425.70, 48,638.55 and 9,052.10

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Solution

The fourth proportional to 32,425.70, 48,638.55 and 9,052.10 is: 13,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425.70 : 48,638.55 = 9,052.10 : x
  2. Step 2: Convert to fraction form
    32,425.70/48,638.55 = 9,052.10/x
  3. Step 3: Cross multiply
    32,425.70x = 48,638.55 × 9,052.10
  4. Step 4: Simplify right side
    32,425.70x = 440,281,018.46
  5. Step 5: Solve for x
    x = 440,281,018.46/32,425.70
  6. Step 6: Final answer
    x = 13,578.15

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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.