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Finding the Fourth Proportional to 32,854.64, 49,289.27 and 9,479.25

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Solution

The fourth proportional to 32,854.64, 49,289.27 and 9,479.25 is: 14,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.64 : 49,289.27 = 9,479.25 : x
  2. Step 2: Convert to fraction form
    32,854.64/49,289.27 = 9,479.25/x
  3. Step 3: Cross multiply
    32,854.64x = 49,289.27 × 9,479.25
  4. Step 4: Simplify right side
    32,854.64x = 467,225,265.25
  5. Step 5: Solve for x
    x = 467,225,265.25/32,854.64
  6. Step 6: Final answer
    x = 14,220.98

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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.