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Finding the Fourth Proportional to 29,967.30, 44,950.95 and 7,778.84

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Solution

The fourth proportional to 29,967.30, 44,950.95 and 7,778.84 is: 11,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.30 : 44,950.95 = 7,778.84 : x
  2. Step 2: Convert to fraction form
    29,967.30/44,950.95 = 7,778.84/x
  3. Step 3: Cross multiply
    29,967.30x = 44,950.95 × 7,778.84
  4. Step 4: Simplify right side
    29,967.30x = 349,666,023.14
  5. Step 5: Solve for x
    x = 349,666,023.14/29,967.30
  6. Step 6: Final answer
    x = 11,668.25

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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.