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Finding the Fourth Proportional to 32,373.34, 48,562.86 and 9,889.09

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Solution

The fourth proportional to 32,373.34, 48,562.86 and 9,889.09 is: 14,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373.34 : 48,562.86 = 9,889.09 : x
  2. Step 2: Convert to fraction form
    32,373.34/48,562.86 = 9,889.09/x
  3. Step 3: Cross multiply
    32,373.34x = 48,562.86 × 9,889.09
  4. Step 4: Simplify right side
    32,373.34x = 480,242,353.25
  5. Step 5: Solve for x
    x = 480,242,353.25/32,373.34
  6. Step 6: Final answer
    x = 14,834.50

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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.