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Finding the Fourth Proportional to 32,193.90, 48,304.72 and 17,413.22

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Solution

The fourth proportional to 32,193.90, 48,304.72 and 17,413.22 is: 26,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.90 : 48,304.72 = 17,413.22 : x
  2. Step 2: Convert to fraction form
    32,193.90/48,304.72 = 17,413.22/x
  3. Step 3: Cross multiply
    32,193.90x = 48,304.72 × 17,413.22
  4. Step 4: Simplify right side
    32,193.90x = 841,140,716.40
  5. Step 5: Solve for x
    x = 841,140,716.40/32,193.90
  6. Step 6: Final answer
    x = 26,127.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.