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Finding the Fourth Proportional to 145,145.04, 217,671.48 and 46,626

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Solution

The fourth proportional to 145,145.04, 217,671.48 and 46,626 is: 69,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145.04 : 217,671.48 = 46,626 : x
  2. Step 2: Convert to fraction form
    145,145.04/217,671.48 = 46,626/x
  3. Step 3: Cross multiply
    145,145.04x = 217,671.48 × 46,626
  4. Step 4: Simplify right side
    145,145.04x = 10,149,150,426.48
  5. Step 5: Solve for x
    x = 10,149,150,426.48/145,145.04
  6. Step 6: Final answer
    x = 69,924.20

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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.