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Finding the Fourth Proportional to 100,443.76, 150,482.04 and 47,037.76

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Solution

The fourth proportional to 100,443.76, 150,482.04 and 47,037.76 is: 70,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,443.76 : 150,482.04 = 47,037.76 : x
  2. Step 2: Convert to fraction form
    100,443.76/150,482.04 = 47,037.76/x
  3. Step 3: Cross multiply
    100,443.76x = 150,482.04 × 47,037.76
  4. Step 4: Simplify right side
    100,443.76x = 7,078,338,081.83
  5. Step 5: Solve for x
    x = 7,078,338,081.83/100,443.76
  6. Step 6: Final answer
    x = 70,470.66

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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.