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Finding the Fourth Proportional to 75,263.76, 112,898.76 and 30,859.20

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Solution

The fourth proportional to 75,263.76, 112,898.76 and 30,859.20 is: 46,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,263.76 : 112,898.76 = 30,859.20 : x
  2. Step 2: Convert to fraction form
    75,263.76/112,898.76 = 30,859.20/x
  3. Step 3: Cross multiply
    75,263.76x = 112,898.76 × 30,859.20
  4. Step 4: Simplify right side
    75,263.76x = 3,483,965,414.59
  5. Step 5: Solve for x
    x = 3,483,965,414.59/75,263.76
  6. Step 6: Final answer
    x = 46,290.08

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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.