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Finding the Fourth Proportional to 38,777.16, 53,511.07 and 23,695.06

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Solution

The fourth proportional to 38,777.16, 53,511.07 and 23,695.06 is: 32,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777.16 : 53,511.07 = 23,695.06 : x
  2. Step 2: Convert to fraction form
    38,777.16/53,511.07 = 23,695.06/x
  3. Step 3: Cross multiply
    38,777.16x = 53,511.07 × 23,695.06
  4. Step 4: Simplify right side
    38,777.16x = 1,267,948,014.31
  5. Step 5: Solve for x
    x = 1,267,948,014.31/38,777.16
  6. Step 6: Final answer
    x = 32,698.32

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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.