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Finding the Fourth Proportional to 31,892.06, 47,840.12 and 9,707.07

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Solution

The fourth proportional to 31,892.06, 47,840.12 and 9,707.07 is: 14,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.06 : 47,840.12 = 9,707.07 : x
  2. Step 2: Convert to fraction form
    31,892.06/47,840.12 = 9,707.07/x
  3. Step 3: Cross multiply
    31,892.06x = 47,840.12 × 9,707.07
  4. Step 4: Simplify right side
    31,892.06x = 464,387,560.92
  5. Step 5: Solve for x
    x = 464,387,560.92/31,892.06
  6. Step 6: Final answer
    x = 14,561.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.