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Finding the Fourth Proportional to 32,835.40, 49,259.58 and 9,462.04

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Solution

The fourth proportional to 32,835.40, 49,259.58 and 9,462.04 is: 14,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835.40 : 49,259.58 = 9,462.04 : x
  2. Step 2: Convert to fraction form
    32,835.40/49,259.58 = 9,462.04/x
  3. Step 3: Cross multiply
    32,835.40x = 49,259.58 × 9,462.04
  4. Step 4: Simplify right side
    32,835.40x = 466,096,116.34
  5. Step 5: Solve for x
    x = 466,096,116.34/32,835.40
  6. Step 6: Final answer
    x = 14,194.93

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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.