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Finding the Fourth Proportional to 34,648.32, 47,782.80 and 22,707.32

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Solution

The fourth proportional to 34,648.32, 47,782.80 and 22,707.32 is: 31,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.32 : 47,782.80 = 22,707.32 : x
  2. Step 2: Convert to fraction form
    34,648.32/47,782.80 = 22,707.32/x
  3. Step 3: Cross multiply
    34,648.32x = 47,782.80 × 22,707.32
  4. Step 4: Simplify right side
    34,648.32x = 1,085,019,330.10
  5. Step 5: Solve for x
    x = 1,085,019,330.10/34,648.32
  6. Step 6: Final answer
    x = 31,315.21

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