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Finding the Fourth Proportional to 102,571.22, 153,751.71 and 39,374.30

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Solution

The fourth proportional to 102,571.22, 153,751.71 and 39,374.30 is: 59,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.22 : 153,751.71 = 39,374.30 : x
  2. Step 2: Convert to fraction form
    102,571.22/153,751.71 = 39,374.30/x
  3. Step 3: Cross multiply
    102,571.22x = 153,751.71 × 39,374.30
  4. Step 4: Simplify right side
    102,571.22x = 6,053,865,955.05
  5. Step 5: Solve for x
    x = 6,053,865,955.05/102,571.22
  6. Step 6: Final answer
    x = 59,021.10

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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.