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Finding the Fourth Proportional to 35,444.64, 53,165.68 and 10,820

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Solution

The fourth proportional to 35,444.64, 53,165.68 and 10,820 is: 16,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,444.64 : 53,165.68 = 10,820 : x
  2. Step 2: Convert to fraction form
    35,444.64/53,165.68 = 10,820/x
  3. Step 3: Cross multiply
    35,444.64x = 53,165.68 × 10,820
  4. Step 4: Simplify right side
    35,444.64x = 575,252,657.60
  5. Step 5: Solve for x
    x = 575,252,657.60/35,444.64
  6. Step 6: Final answer
    x = 16,229.61

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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.