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Finding the Fourth Proportional to 70,482.05, 105,711.80 and 20,550.47

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Solution

The fourth proportional to 70,482.05, 105,711.80 and 20,550.47 is: 30,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482.05 : 105,711.80 = 20,550.47 : x
  2. Step 2: Convert to fraction form
    70,482.05/105,711.80 = 20,550.47/x
  3. Step 3: Cross multiply
    70,482.05x = 105,711.80 × 20,550.47
  4. Step 4: Simplify right side
    70,482.05x = 2,172,426,697.36
  5. Step 5: Solve for x
    x = 2,172,426,697.36/70,482.05
  6. Step 6: Final answer
    x = 30,822.41

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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.