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Finding the Fourth Proportional to 32,442.24, 48,656.88 and 11,658.72

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Solution

The fourth proportional to 32,442.24, 48,656.88 and 11,658.72 is: 17,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.24 : 48,656.88 = 11,658.72 : x
  2. Step 2: Convert to fraction form
    32,442.24/48,656.88 = 11,658.72/x
  3. Step 3: Cross multiply
    32,442.24x = 48,656.88 × 11,658.72
  4. Step 4: Simplify right side
    32,442.24x = 567,276,939.99
  5. Step 5: Solve for x
    x = 567,276,939.99/32,442.24
  6. Step 6: Final answer
    x = 17,485.75

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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.