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Finding the Fourth Proportional to 77,519, 116,234.76 and 26,894.28

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Solution

The fourth proportional to 77,519, 116,234.76 and 26,894.28 is: 40,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,519 : 116,234.76 = 26,894.28 : x
  2. Step 2: Convert to fraction form
    77,519/116,234.76 = 26,894.28/x
  3. Step 3: Cross multiply
    77,519x = 116,234.76 × 26,894.28
  4. Step 4: Simplify right side
    77,519x = 3,126,050,181.17
  5. Step 5: Solve for x
    x = 3,126,050,181.17/77,519
  6. Step 6: Final answer
    x = 40,326.24

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1.5x scale

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.