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Finding the Fourth Proportional to 52,482.10, 78,704.02 and 19,192.32

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Solution

The fourth proportional to 52,482.10, 78,704.02 and 19,192.32 is: 28,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482.10 : 78,704.02 = 19,192.32 : x
  2. Step 2: Convert to fraction form
    52,482.10/78,704.02 = 19,192.32/x
  3. Step 3: Cross multiply
    52,482.10x = 78,704.02 × 19,192.32
  4. Step 4: Simplify right side
    52,482.10x = 1,510,512,737.13
  5. Step 5: Solve for x
    x = 1,510,512,737.13/52,482.10
  6. Step 6: Final answer
    x = 28,781.48

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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.