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Finding the Fourth Proportional to 23,705.92, 32,717.31 and 22,927.06

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Solution

The fourth proportional to 23,705.92, 32,717.31 and 22,927.06 is: 31,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.92 : 32,717.31 = 22,927.06 : x
  2. Step 2: Convert to fraction form
    23,705.92/32,717.31 = 22,927.06/x
  3. Step 3: Cross multiply
    23,705.92x = 32,717.31 × 22,927.06
  4. Step 4: Simplify right side
    23,705.92x = 750,111,729.41
  5. Step 5: Solve for x
    x = 750,111,729.41/23,705.92
  6. Step 6: Final answer
    x = 31,642.38

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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.