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Finding the Fourth Proportional to 127,851.75, 191,746.83 and 39,106.02

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Solution

The fourth proportional to 127,851.75, 191,746.83 and 39,106.02 is: 58,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,851.75 : 191,746.83 = 39,106.02 : x
  2. Step 2: Convert to fraction form
    127,851.75/191,746.83 = 39,106.02/x
  3. Step 3: Cross multiply
    127,851.75x = 191,746.83 × 39,106.02
  4. Step 4: Simplify right side
    127,851.75x = 7,498,455,368.92
  5. Step 5: Solve for x
    x = 7,498,455,368.92/127,851.75
  6. Step 6: Final answer
    x = 58,649.61

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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.