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Finding the Fourth Proportional to 106,547.76, 159,780.09 and 39,951.60

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Solution

The fourth proportional to 106,547.76, 159,780.09 and 39,951.60 is: 59,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.76 : 159,780.09 = 39,951.60 : x
  2. Step 2: Convert to fraction form
    106,547.76/159,780.09 = 39,951.60/x
  3. Step 3: Cross multiply
    106,547.76x = 159,780.09 × 39,951.60
  4. Step 4: Simplify right side
    106,547.76x = 6,383,470,243.64
  5. Step 5: Solve for x
    x = 6,383,470,243.64/106,547.76
  6. Step 6: Final answer
    x = 59,911.82

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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.