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Finding the Fourth Proportional to 109,651.95, 164,477.93 and 47,322.45

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Solution

The fourth proportional to 109,651.95, 164,477.93 and 47,322.45 is: 70,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.95 : 164,477.93 = 47,322.45 : x
  2. Step 2: Convert to fraction form
    109,651.95/164,477.93 = 47,322.45/x
  3. Step 3: Cross multiply
    109,651.95x = 164,477.93 × 47,322.45
  4. Step 4: Simplify right side
    109,651.95x = 7,783,498,381.92
  5. Step 5: Solve for x
    x = 7,783,498,381.92/109,651.95
  6. Step 6: Final answer
    x = 70,983.68

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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.