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Finding the Fourth Proportional to 31,688.43, 43,741.03 and 19,598.16

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Solution

The fourth proportional to 31,688.43, 43,741.03 and 19,598.16 is: 27,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.43 : 43,741.03 = 19,598.16 : x
  2. Step 2: Convert to fraction form
    31,688.43/43,741.03 = 19,598.16/x
  3. Step 3: Cross multiply
    31,688.43x = 43,741.03 × 19,598.16
  4. Step 4: Simplify right side
    31,688.43x = 857,243,704.50
  5. Step 5: Solve for x
    x = 857,243,704.50/31,688.43
  6. Step 6: Final answer
    x = 27,052.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.