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Finding the Fourth Proportional to 30,725.65, 46,089.08 and 9,665.24

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Solution

The fourth proportional to 30,725.65, 46,089.08 and 9,665.24 is: 14,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.65 : 46,089.08 = 9,665.24 : x
  2. Step 2: Convert to fraction form
    30,725.65/46,089.08 = 9,665.24/x
  3. Step 3: Cross multiply
    30,725.65x = 46,089.08 × 9,665.24
  4. Step 4: Simplify right side
    30,725.65x = 445,462,009.12
  5. Step 5: Solve for x
    x = 445,462,009.12/30,725.65
  6. Step 6: Final answer
    x = 14,498.05

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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.