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Finding the Fourth Proportional to 106,357.61, 159,564.09 and 39,802.88

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Solution

The fourth proportional to 106,357.61, 159,564.09 and 39,802.88 is: 59,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.61 : 159,564.09 = 39,802.88 : x
  2. Step 2: Convert to fraction form
    106,357.61/159,564.09 = 39,802.88/x
  3. Step 3: Cross multiply
    106,357.61x = 159,564.09 × 39,802.88
  4. Step 4: Simplify right side
    106,357.61x = 6,351,110,052.49
  5. Step 5: Solve for x
    x = 6,351,110,052.49/106,357.61
  6. Step 6: Final answer
    x = 59,714.68

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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.