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Finding the Fourth Proportional to 101,970.36, 152,926.38 and 52,019.28

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Solution

The fourth proportional to 101,970.36, 152,926.38 and 52,019.28 is: 78,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.36 : 152,926.38 = 52,019.28 : x
  2. Step 2: Convert to fraction form
    101,970.36/152,926.38 = 52,019.28/x
  3. Step 3: Cross multiply
    101,970.36x = 152,926.38 × 52,019.28
  4. Step 4: Simplify right side
    101,970.36x = 7,955,120,180.61
  5. Step 5: Solve for x
    x = 7,955,120,180.61/101,970.36
  6. Step 6: Final answer
    x = 78,014.04

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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.