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Finding the Fourth Proportional to 32,632.40, 48,950.46 and 9,257

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Solution

The fourth proportional to 32,632.40, 48,950.46 and 9,257 is: 13,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.40 : 48,950.46 = 9,257 : x
  2. Step 2: Convert to fraction form
    32,632.40/48,950.46 = 9,257/x
  3. Step 3: Cross multiply
    32,632.40x = 48,950.46 × 9,257
  4. Step 4: Simplify right side
    32,632.40x = 453,134,408.22
  5. Step 5: Solve for x
    x = 453,134,408.22/32,632.40
  6. Step 6: Final answer
    x = 13,886.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.