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Finding the Fourth Proportional to 30,465.57, 45,681.38 and 9,399.63

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Solution

The fourth proportional to 30,465.57, 45,681.38 and 9,399.63 is: 14,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.57 : 45,681.38 = 9,399.63 : x
  2. Step 2: Convert to fraction form
    30,465.57/45,681.38 = 9,399.63/x
  3. Step 3: Cross multiply
    30,465.57x = 45,681.38 × 9,399.63
  4. Step 4: Simplify right side
    30,465.57x = 429,388,022.89
  5. Step 5: Solve for x
    x = 429,388,022.89/30,465.57
  6. Step 6: Final answer
    x = 14,094.21

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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.