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Finding the Fourth Proportional to 35,643.80, 53,465.70 and 9,351.20

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Solution

The fourth proportional to 35,643.80, 53,465.70 and 9,351.20 is: 14,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.80 : 53,465.70 = 9,351.20 : x
  2. Step 2: Convert to fraction form
    35,643.80/53,465.70 = 9,351.20/x
  3. Step 3: Cross multiply
    35,643.80x = 53,465.70 × 9,351.20
  4. Step 4: Simplify right side
    35,643.80x = 499,968,453.84
  5. Step 5: Solve for x
    x = 499,968,453.84/35,643.80
  6. Step 6: Final answer
    x = 14,026.80

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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.