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Finding the Fourth Proportional to 30,935.76, 46,386.96 and 9,870

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Solution

The fourth proportional to 30,935.76, 46,386.96 and 9,870 is: 14,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.76 : 46,386.96 = 9,870 : x
  2. Step 2: Convert to fraction form
    30,935.76/46,386.96 = 9,870/x
  3. Step 3: Cross multiply
    30,935.76x = 46,386.96 × 9,870
  4. Step 4: Simplify right side
    30,935.76x = 457,839,295.20
  5. Step 5: Solve for x
    x = 457,839,295.20/30,935.76
  6. Step 6: Final answer
    x = 14,799.68

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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.