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Finding the Fourth Proportional to 32,442.42, 48,661.20 and 9,070.68

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Solution

The fourth proportional to 32,442.42, 48,661.20 and 9,070.68 is: 13,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.42 : 48,661.20 = 9,070.68 : x
  2. Step 2: Convert to fraction form
    32,442.42/48,661.20 = 9,070.68/x
  3. Step 3: Cross multiply
    32,442.42x = 48,661.20 × 9,070.68
  4. Step 4: Simplify right side
    32,442.42x = 441,390,173.62
  5. Step 5: Solve for x
    x = 441,390,173.62/32,442.42
  6. Step 6: Final answer
    x = 13,605.34

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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.