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Finding the Fourth Proportional to 31,970.11, 47,953.42 and 9,783.49

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Solution

The fourth proportional to 31,970.11, 47,953.42 and 9,783.49 is: 14,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.11 : 47,953.42 = 9,783.49 : x
  2. Step 2: Convert to fraction form
    31,970.11/47,953.42 = 9,783.49/x
  3. Step 3: Cross multiply
    31,970.11x = 47,953.42 × 9,783.49
  4. Step 4: Simplify right side
    31,970.11x = 469,151,805.04
  5. Step 5: Solve for x
    x = 469,151,805.04/31,970.11
  6. Step 6: Final answer
    x = 14,674.70

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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.