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Finding the Fourth Proportional to 32,784.30, 49,176.72 and 9,411.48

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Solution

The fourth proportional to 32,784.30, 49,176.72 and 9,411.48 is: 14,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.30 : 49,176.72 = 9,411.48 : x
  2. Step 2: Convert to fraction form
    32,784.30/49,176.72 = 9,411.48/x
  3. Step 3: Cross multiply
    32,784.30x = 49,176.72 × 9,411.48
  4. Step 4: Simplify right side
    32,784.30x = 462,825,716.75
  5. Step 5: Solve for x
    x = 462,825,716.75/32,784.30
  6. Step 6: Final answer
    x = 14,117.30

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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.