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Finding the Fourth Proportional to 32,590.84, 48,886.44 and 11,813.80

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Solution

The fourth proportional to 32,590.84, 48,886.44 and 11,813.80 is: 17,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.84 : 48,886.44 = 11,813.80 : x
  2. Step 2: Convert to fraction form
    32,590.84/48,886.44 = 11,813.80/x
  3. Step 3: Cross multiply
    32,590.84x = 48,886.44 × 11,813.80
  4. Step 4: Simplify right side
    32,590.84x = 577,534,624.87
  5. Step 5: Solve for x
    x = 577,534,624.87/32,590.84
  6. Step 6: Final answer
    x = 17,720.77

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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.