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Finding the Fourth Proportional to 8,102,954.40, 12,146,828.40 and 3,057,655.20

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Solution

The fourth proportional to 8,102,954.40, 12,146,828.40 and 3,057,655.20 is: 4,583,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102,954.40 : 12,146,828.40 = 3,057,655.20 : x
  2. Step 2: Convert to fraction form
    8,102,954.40/12,146,828.40 = 3,057,655.20/x
  3. Step 3: Cross multiply
    8,102,954.40x = 12,146,828.40 × 3,057,655.20
  4. Step 4: Simplify right side
    8,102,954.40x = 37,140,813,020,767.68
  5. Step 5: Solve for x
    x = 37,140,813,020,767.68/8,102,954.40
  6. Step 6: Final answer
    x = 4,583,613.73

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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.