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Finding the Fourth Proportional to 32,449.14, 48,681.54 and 9,075.24

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Solution

The fourth proportional to 32,449.14, 48,681.54 and 9,075.24 is: 13,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.14 : 48,681.54 = 9,075.24 : x
  2. Step 2: Convert to fraction form
    32,449.14/48,681.54 = 9,075.24/x
  3. Step 3: Cross multiply
    32,449.14x = 48,681.54 × 9,075.24
  4. Step 4: Simplify right side
    32,449.14x = 441,796,659.07
  5. Step 5: Solve for x
    x = 441,796,659.07/32,449.14
  6. Step 6: Final answer
    x = 13,615.05

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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.