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Finding the Fourth Proportional to 103,002.76, 154,467.42 and 46,795.78

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Solution

The fourth proportional to 103,002.76, 154,467.42 and 46,795.78 is: 70,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002.76 : 154,467.42 = 46,795.78 : x
  2. Step 2: Convert to fraction form
    103,002.76/154,467.42 = 46,795.78/x
  3. Step 3: Cross multiply
    103,002.76x = 154,467.42 × 46,795.78
  4. Step 4: Simplify right side
    103,002.76x = 7,228,423,403.49
  5. Step 5: Solve for x
    x = 7,228,423,403.49/103,002.76
  6. Step 6: Final answer
    x = 70,176.99

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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.