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Finding the Fourth Proportional to 32,308.92, 48,443.53 and 12,564.46

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Solution

The fourth proportional to 32,308.92, 48,443.53 and 12,564.46 is: 18,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.92 : 48,443.53 = 12,564.46 : x
  2. Step 2: Convert to fraction form
    32,308.92/48,443.53 = 12,564.46/x
  3. Step 3: Cross multiply
    32,308.92x = 48,443.53 × 12,564.46
  4. Step 4: Simplify right side
    32,308.92x = 608,666,489.90
  5. Step 5: Solve for x
    x = 608,666,489.90/32,308.92
  6. Step 6: Final answer
    x = 18,838.96

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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.