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Finding the Fourth Proportional to 76,493.12, 114,713.60 and 26,560

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Solution

The fourth proportional to 76,493.12, 114,713.60 and 26,560 is: 39,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.12 : 114,713.60 = 26,560 : x
  2. Step 2: Convert to fraction form
    76,493.12/114,713.60 = 26,560/x
  3. Step 3: Cross multiply
    76,493.12x = 114,713.60 × 26,560
  4. Step 4: Simplify right side
    76,493.12x = 3,046,793,216
  5. Step 5: Solve for x
    x = 3,046,793,216/76,493.12
  6. Step 6: Final answer
    x = 39,830.94

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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.