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Finding the Fourth Proportional to 32,858.04, 49,288.14 and 9,484.68

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Solution

The fourth proportional to 32,858.04, 49,288.14 and 9,484.68 is: 14,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.04 : 49,288.14 = 9,484.68 : x
  2. Step 2: Convert to fraction form
    32,858.04/49,288.14 = 9,484.68/x
  3. Step 3: Cross multiply
    32,858.04x = 49,288.14 × 9,484.68
  4. Step 4: Simplify right side
    32,858.04x = 467,482,235.70
  5. Step 5: Solve for x
    x = 467,482,235.70/32,858.04
  6. Step 6: Final answer
    x = 14,227.33

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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.