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Finding the Fourth Proportional to 35,730.40, 53,557.20 and 13,535.20

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Solution

The fourth proportional to 35,730.40, 53,557.20 and 13,535.20 is: 20,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.40 : 53,557.20 = 13,535.20 : x
  2. Step 2: Convert to fraction form
    35,730.40/53,557.20 = 13,535.20/x
  3. Step 3: Cross multiply
    35,730.40x = 53,557.20 × 13,535.20
  4. Step 4: Simplify right side
    35,730.40x = 724,907,413.44
  5. Step 5: Solve for x
    x = 724,907,413.44/35,730.40
  6. Step 6: Final answer
    x = 20,288.25

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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.