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Finding the Fourth Proportional to 30,918.42, 46,384.91 and 24,617.13

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Solution

The fourth proportional to 30,918.42, 46,384.91 and 24,617.13 is: 36,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.42 : 46,384.91 = 24,617.13 : x
  2. Step 2: Convert to fraction form
    30,918.42/46,384.91 = 24,617.13/x
  3. Step 3: Cross multiply
    30,918.42x = 46,384.91 × 24,617.13
  4. Step 4: Simplify right side
    30,918.42x = 1,141,863,359.51
  5. Step 5: Solve for x
    x = 1,141,863,359.51/30,918.42
  6. Step 6: Final answer
    x = 36,931.49

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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.