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Finding the Fourth Proportional to 32,291.94, 48,438.07 and 9,802.81

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Solution

The fourth proportional to 32,291.94, 48,438.07 and 9,802.81 is: 14,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.94 : 48,438.07 = 9,802.81 : x
  2. Step 2: Convert to fraction form
    32,291.94/48,438.07 = 9,802.81/x
  3. Step 3: Cross multiply
    32,291.94x = 48,438.07 × 9,802.81
  4. Step 4: Simplify right side
    32,291.94x = 474,829,196.98
  5. Step 5: Solve for x
    x = 474,829,196.98/32,291.94
  6. Step 6: Final answer
    x = 14,704.26

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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.