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Finding the Fourth Proportional to 51,797.64, 77,707.84 and 30,756.90

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Solution

The fourth proportional to 51,797.64, 77,707.84 and 30,756.90 is: 46,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797.64 : 77,707.84 = 30,756.90 : x
  2. Step 2: Convert to fraction form
    51,797.64/77,707.84 = 30,756.90/x
  3. Step 3: Cross multiply
    51,797.64x = 77,707.84 × 30,756.90
  4. Step 4: Simplify right side
    51,797.64x = 2,390,052,264.10
  5. Step 5: Solve for x
    x = 2,390,052,264.10/51,797.64
  6. Step 6: Final answer
    x = 46,142.11

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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.