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Finding the Fourth Proportional to 32,829.48, 49,244.40 and 9,456.48

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Solution

The fourth proportional to 32,829.48, 49,244.40 and 9,456.48 is: 14,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.48 : 49,244.40 = 9,456.48 : x
  2. Step 2: Convert to fraction form
    32,829.48/49,244.40 = 9,456.48/x
  3. Step 3: Cross multiply
    32,829.48x = 49,244.40 × 9,456.48
  4. Step 4: Simplify right side
    32,829.48x = 465,678,683.71
  5. Step 5: Solve for x
    x = 465,678,683.71/32,829.48
  6. Step 6: Final answer
    x = 14,184.77

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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.