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Finding the Fourth Proportional to 77,854.84, 116,782.25 and 18,690.51

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Solution

The fourth proportional to 77,854.84, 116,782.25 and 18,690.51 is: 28,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.84 : 116,782.25 = 18,690.51 : x
  2. Step 2: Convert to fraction form
    77,854.84/116,782.25 = 18,690.51/x
  3. Step 3: Cross multiply
    77,854.84x = 116,782.25 × 18,690.51
  4. Step 4: Simplify right side
    77,854.84x = 2,182,719,811.45
  5. Step 5: Solve for x
    x = 2,182,719,811.45/77,854.84
  6. Step 6: Final answer
    x = 28,035.76

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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.