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Finding the Fourth Proportional to 32,580, 48,870.54 and 12,858.39

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Solution

The fourth proportional to 32,580, 48,870.54 and 12,858.39 is: 19,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 48,870.54 = 12,858.39 : x
  2. Step 2: Convert to fraction form
    32,580/48,870.54 = 12,858.39/x
  3. Step 3: Cross multiply
    32,580x = 48,870.54 × 12,858.39
  4. Step 4: Simplify right side
    32,580x = 628,396,462.83
  5. Step 5: Solve for x
    x = 628,396,462.83/32,580
  6. Step 6: Final answer
    x = 19,287.80

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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.