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Finding the Fourth Proportional to 35,821.60, 53,732.40 and 24,762.40

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Solution

The fourth proportional to 35,821.60, 53,732.40 and 24,762.40 is: 37,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.60 : 53,732.40 = 24,762.40 : x
  2. Step 2: Convert to fraction form
    35,821.60/53,732.40 = 24,762.40/x
  3. Step 3: Cross multiply
    35,821.60x = 53,732.40 × 24,762.40
  4. Step 4: Simplify right side
    35,821.60x = 1,330,543,181.76
  5. Step 5: Solve for x
    x = 1,330,543,181.76/35,821.60
  6. Step 6: Final answer
    x = 37,143.60

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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.