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Finding the Fourth Proportional to 32,842.56, 49,271.04 and 10,658.16

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Solution

The fourth proportional to 32,842.56, 49,271.04 and 10,658.16 is: 15,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.56 : 49,271.04 = 10,658.16 : x
  2. Step 2: Convert to fraction form
    32,842.56/49,271.04 = 10,658.16/x
  3. Step 3: Cross multiply
    32,842.56x = 49,271.04 × 10,658.16
  4. Step 4: Simplify right side
    32,842.56x = 525,138,627.69
  5. Step 5: Solve for x
    x = 525,138,627.69/32,842.56
  6. Step 6: Final answer
    x = 15,989.58

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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.