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Finding the Fourth Proportional to 30,953.47, 46,436.86 and 9,605.76

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Solution

The fourth proportional to 30,953.47, 46,436.86 and 9,605.76 is: 14,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.47 : 46,436.86 = 9,605.76 : x
  2. Step 2: Convert to fraction form
    30,953.47/46,436.86 = 9,605.76/x
  3. Step 3: Cross multiply
    30,953.47x = 46,436.86 × 9,605.76
  4. Step 4: Simplify right side
    30,953.47x = 446,061,332.31
  5. Step 5: Solve for x
    x = 446,061,332.31/30,953.47
  6. Step 6: Final answer
    x = 14,410.71

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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.