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Finding the Fourth Proportional to 35,727.51, 53,591.28 and 9,075.50

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Solution

The fourth proportional to 35,727.51, 53,591.28 and 9,075.50 is: 13,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.51 : 53,591.28 = 9,075.50 : x
  2. Step 2: Convert to fraction form
    35,727.51/53,591.28 = 9,075.50/x
  3. Step 3: Cross multiply
    35,727.51x = 53,591.28 × 9,075.50
  4. Step 4: Simplify right side
    35,727.51x = 486,367,393.68
  5. Step 5: Solve for x
    x = 486,367,393.68/35,727.51
  6. Step 6: Final answer
    x = 13,613.25

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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.