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Finding the Fourth Proportional to 106,309.97, 159,409.59 and 39,695.32

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Solution

The fourth proportional to 106,309.97, 159,409.59 and 39,695.32 is: 59,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309.97 : 159,409.59 = 39,695.32 : x
  2. Step 2: Convert to fraction form
    106,309.97/159,409.59 = 39,695.32/x
  3. Step 3: Cross multiply
    106,309.97x = 159,409.59 × 39,695.32
  4. Step 4: Simplify right side
    106,309.97x = 6,327,814,686.12
  5. Step 5: Solve for x
    x = 6,327,814,686.12/106,309.97
  6. Step 6: Final answer
    x = 59,522.31

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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.