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Finding the Fourth Proportional to 32,417.42, 48,639.08 and 11,642.54

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Solution

The fourth proportional to 32,417.42, 48,639.08 and 11,642.54 is: 17,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.42 : 48,639.08 = 11,642.54 : x
  2. Step 2: Convert to fraction form
    32,417.42/48,639.08 = 11,642.54/x
  3. Step 3: Cross multiply
    32,417.42x = 48,639.08 × 11,642.54
  4. Step 4: Simplify right side
    32,417.42x = 566,282,220.37
  5. Step 5: Solve for x
    x = 566,282,220.37/32,417.42
  6. Step 6: Final answer
    x = 17,468.46

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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.