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Finding the Fourth Proportional to 32,205.34, 48,306.48 and 10,018.18

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Solution

The fourth proportional to 32,205.34, 48,306.48 and 10,018.18 is: 15,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.34 : 48,306.48 = 10,018.18 : x
  2. Step 2: Convert to fraction form
    32,205.34/48,306.48 = 10,018.18/x
  3. Step 3: Cross multiply
    32,205.34x = 48,306.48 × 10,018.18
  4. Step 4: Simplify right side
    32,205.34x = 483,943,011.81
  5. Step 5: Solve for x
    x = 483,943,011.81/32,205.34
  6. Step 6: Final answer
    x = 15,026.79

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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.