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Finding the Fourth Proportional to 38,009.90, 52,419.48 and 24,567.02

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Solution

The fourth proportional to 38,009.90, 52,419.48 and 24,567.02 is: 33,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.90 : 52,419.48 = 24,567.02 : x
  2. Step 2: Convert to fraction form
    38,009.90/52,419.48 = 24,567.02/x
  3. Step 3: Cross multiply
    38,009.90x = 52,419.48 × 24,567.02
  4. Step 4: Simplify right side
    38,009.90x = 1,287,790,413.55
  5. Step 5: Solve for x
    x = 1,287,790,413.55/38,009.90
  6. Step 6: Final answer
    x = 33,880.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.