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Finding the Fourth Proportional to 32,842.80, 49,271.40 and 10,652.40

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Solution

The fourth proportional to 32,842.80, 49,271.40 and 10,652.40 is: 15,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.80 : 49,271.40 = 10,652.40 : x
  2. Step 2: Convert to fraction form
    32,842.80/49,271.40 = 10,652.40/x
  3. Step 3: Cross multiply
    32,842.80x = 49,271.40 × 10,652.40
  4. Step 4: Simplify right side
    32,842.80x = 524,858,661.36
  5. Step 5: Solve for x
    x = 524,858,661.36/32,842.80
  6. Step 6: Final answer
    x = 15,980.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.