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Finding the Fourth Proportional to 32,948.70, 49,413.45 and 11,886.30

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Solution

The fourth proportional to 32,948.70, 49,413.45 and 11,886.30 is: 17,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.70 : 49,413.45 = 11,886.30 : x
  2. Step 2: Convert to fraction form
    32,948.70/49,413.45 = 11,886.30/x
  3. Step 3: Cross multiply
    32,948.70x = 49,413.45 × 11,886.30
  4. Step 4: Simplify right side
    32,948.70x = 587,343,090.74
  5. Step 5: Solve for x
    x = 587,343,090.74/32,948.70
  6. Step 6: Final answer
    x = 17,825.99

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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.