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Finding the Fourth Proportional to 70,482.91, 105,698.01 and 28,348.78

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Solution

The fourth proportional to 70,482.91, 105,698.01 and 28,348.78 is: 42,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482.91 : 105,698.01 = 28,348.78 : x
  2. Step 2: Convert to fraction form
    70,482.91/105,698.01 = 28,348.78/x
  3. Step 3: Cross multiply
    70,482.91x = 105,698.01 × 28,348.78
  4. Step 4: Simplify right side
    70,482.91x = 2,996,409,631.93
  5. Step 5: Solve for x
    x = 2,996,409,631.93/70,482.91
  6. Step 6: Final answer
    x = 42,512.57

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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.