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Finding the Fourth Proportional to 109,314.40, 164,048.40 and 47,029.60

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Solution

The fourth proportional to 109,314.40, 164,048.40 and 47,029.60 is: 70,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,314.40 : 164,048.40 = 47,029.60 : x
  2. Step 2: Convert to fraction form
    109,314.40/164,048.40 = 47,029.60/x
  3. Step 3: Cross multiply
    109,314.40x = 164,048.40 × 47,029.60
  4. Step 4: Simplify right side
    109,314.40x = 7,715,130,632.64
  5. Step 5: Solve for x
    x = 7,715,130,632.64/109,314.40
  6. Step 6: Final answer
    x = 70,577.44

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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.