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Finding the Fourth Proportional to 35,441.64, 53,161.18 and 10,817

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Solution

The fourth proportional to 35,441.64, 53,161.18 and 10,817 is: 16,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,441.64 : 53,161.18 = 10,817 : x
  2. Step 2: Convert to fraction form
    35,441.64/53,161.18 = 10,817/x
  3. Step 3: Cross multiply
    35,441.64x = 53,161.18 × 10,817
  4. Step 4: Simplify right side
    35,441.64x = 575,044,484.06
  5. Step 5: Solve for x
    x = 575,044,484.06/35,441.64
  6. Step 6: Final answer
    x = 16,225.11

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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.