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Finding the Fourth Proportional to 30,935.66, 46,412.69 and 9,877.05

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Solution

The fourth proportional to 30,935.66, 46,412.69 and 9,877.05 is: 14,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.66 : 46,412.69 = 9,877.05 : x
  2. Step 2: Convert to fraction form
    30,935.66/46,412.69 = 9,877.05/x
  3. Step 3: Cross multiply
    30,935.66x = 46,412.69 × 9,877.05
  4. Step 4: Simplify right side
    30,935.66x = 458,420,410.38
  5. Step 5: Solve for x
    x = 458,420,410.38/30,935.66
  6. Step 6: Final answer
    x = 14,818.51

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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.