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Finding the Fourth Proportional to 76,110.50, 114,217.68 and 26,862.50

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Solution

The fourth proportional to 76,110.50, 114,217.68 and 26,862.50 is: 40,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110.50 : 114,217.68 = 26,862.50 : x
  2. Step 2: Convert to fraction form
    76,110.50/114,217.68 = 26,862.50/x
  3. Step 3: Cross multiply
    76,110.50x = 114,217.68 × 26,862.50
  4. Step 4: Simplify right side
    76,110.50x = 3,068,172,429
  5. Step 5: Solve for x
    x = 3,068,172,429/76,110.50
  6. Step 6: Final answer
    x = 40,312.08

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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.