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Finding the Fourth Proportional to 32,445.04, 48,667 and 9,071.16

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Solution

The fourth proportional to 32,445.04, 48,667 and 9,071.16 is: 13,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.04 : 48,667 = 9,071.16 : x
  2. Step 2: Convert to fraction form
    32,445.04/48,667 = 9,071.16/x
  3. Step 3: Cross multiply
    32,445.04x = 48,667 × 9,071.16
  4. Step 4: Simplify right side
    32,445.04x = 441,466,143.72
  5. Step 5: Solve for x
    x = 441,466,143.72/32,445.04
  6. Step 6: Final answer
    x = 13,606.58

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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.