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Finding the Fourth Proportional to 52,441.76, 78,674.04 and 19,161.77

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Solution

The fourth proportional to 52,441.76, 78,674.04 and 19,161.77 is: 28,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,441.76 : 78,674.04 = 19,161.77 : x
  2. Step 2: Convert to fraction form
    52,441.76/78,674.04 = 19,161.77/x
  3. Step 3: Cross multiply
    52,441.76x = 78,674.04 × 19,161.77
  4. Step 4: Simplify right side
    52,441.76x = 1,507,533,984.28
  5. Step 5: Solve for x
    x = 1,507,533,984.28/52,441.76
  6. Step 6: Final answer
    x = 28,746.82

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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.