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Finding the Fourth Proportional to 51,578.56, 77,373.62 and 46,281

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Solution

The fourth proportional to 51,578.56, 77,373.62 and 46,281 is: 69,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578.56 : 77,373.62 = 46,281 : x
  2. Step 2: Convert to fraction form
    51,578.56/77,373.62 = 46,281/x
  3. Step 3: Cross multiply
    51,578.56x = 77,373.62 × 46,281
  4. Step 4: Simplify right side
    51,578.56x = 3,580,928,507.22
  5. Step 5: Solve for x
    x = 3,580,928,507.22/51,578.56
  6. Step 6: Final answer
    x = 69,426.69

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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.